linear-algebra code snippets in matlab

. a 4x4 stiffness matrix 𝑲 is given as: 𝑲 = [12 −4 −2 0 −4 10 −3 1 −2 −3 5 −1 0 1 −1 6 ]find the determinant of the matrix 𝑲. in matlab

1) solve, if possible, the system of linear equations and obtain also the matrices l and u ൝ 3 = ݖ2 + ݕ3 + ݔ10 2=ݖ−ݕ+ݔ 0=ݖ+ݔ in matlab

a 4x4 stiffness matrix 𝑲 is given as: 𝑲 = [12 −4 −2 0 −4 10 −3 1 −2 −3 5 −1 0 1 −1 6 ]set all values of 𝑲 below the diagonal to zero to create an upper triangular matrix. in matlab

a = [38 2 13; 5 23 11; 19 3 17] b = [6 17 29; 43 15 8; 1 4 22] c = [14 9 1; 2 31 7; 8 20 6] berechnen sie f = d * et in matlab

a code to verify a matrix is symmetric in matlab

a= (0, 0, 1, 0, · · · , 0)^t, y = (y1, y2, · · · , y21),aa = y. calculate relative error in a if y(5) = y(5) + 0.01 in matlab

ax=b for different b ’s a=[-0.3 -0.5 1.2; -0.9 1.3 -1.4 ; -0.5 -1.8 -1.8]he relative error of the right hand side is at most 0.0028 in ∞ -norm calculate to get the large relative error in matlab

boost matrix in matlab

calculate hessian normal form in matlab

calculate the condition number of a matrix in matlab

calculate the condition number of the matrix in matlab

cholesky decomposition in matlab

compute the best fitting (in the sense of least squares method) function of the form f(t)=at2+bt+c t=[3 -1 7 -3 -1 7]; f=[5 10 9 10 8 -3]; in matlab

compute the rank of a matrix in matlab

create a 4x5 matrix randomly and find its rank. in matlab

create a code that solves matrix a in the following equation: [[2,0][0,3]]*a=[[1,2,3][4,5,6]] in matlab

create a solver for a system of linear simultaneous equations in matlab

create a sparse matrix. in matlab

create sparse diagonal system from 3d matrix in matlab

cross product of vectors a and b in matlab

diagonalise a matrix in matlab

diagonalize a matrix in matlab

dimension of the column space of a matrix in matlab

does a solution to the following system exist? what is it? x − 2y + 3z = 1 x + 4y + 3z = 2 2x + 8y + z = 3 in matlab

dot product in matlab

etermine the intersection point, p, of these three planes (note: your answer should be a row vector containing x,y, and z coordinates of the intersection). in matlab

find a nonsingular matrix p such that p^{-1}ap is a diagonal matrix, use sym(a) to get elements of p. in matlab in matlab

find a nonsingular matrix p such that p^{-1}ap is a diagonal matrix. in matlab

find a solution to the following set of equations x + 2y + 3z = 12 −4x + y + 2z = 13 9y − 8z = −1 in matlab

find a solution to the following set of equations x + 2y + 3z = 12 −4x + y + 2z = 13 9y − 8z = −1 what is the determinant of the coeffi cient matrix? in matlab

find eigenvectors of a matrix in matlab

find rref for matrix a = [1 2 3 4 ; 2 3 4 5 ; 3 4 5 6; 1 2 0 1]; b = [0 0 0 0]'; in matlab

find solution of linear system ax=b in matlab

find the condition number of a matrix in matlab

find the difference between two vectors in each value in matlab

find the inverse of a matrix in matlab

find the inverse using cayley hamilton theorem. use a 3x3 matrix and find the characteristic polynomial in matlab

find the magnitude of the vector in matlab

find the row echelon form of 0 1 3 1 1 0 1 1 3 1 0 2 1 1 2 0 a − −       =    in matlab

find the set s of all solutions in x of the following inhomogeneous linear systems ax = b, where a and b are defined as follows in matlab

find the size of matrix m such that size(reshape(m,1,1,25))=(25,1,1) in matlab

fit many surfaces to equation by linear in matlab

fit many surfaces to set of linear equations in matlab

gaussian elimination in matlab

gaussian elimination solution method in matlab

gaussseidel in matlab

generate the matrix a of order n=100, whose generic element is a_{ij}=\sin(\max(i,j)). the condition number of a in the 2-norm is: in matlab

given a square matrix a with n columns and a vertical vector b where rank(a)=rank(a|b)<n, solve the system ax=b in matlab

given matrix a and vertical vector b, find if rank(a)=rank(a|b) in matlab

given the matrix a=magic(3), compute its qr factorization and solve the linear system qx=b, with b=[1,2,3]^t. the solution is, approximately: in matlab

given the matrix a=magic(3), compute its qr factorization and solve the linear system rx=b, with b=[1,2,3]^t. the solution is, approximately: in matlab

given three equations and four variables, solve the system in ax = b form in matlab

he eigenvectors of the matrix a are: a space equals space open square brackets table row 4 5 row 2 3 end table close square brackets in matlab

hesse normal form in matlab

how do you find the roots with zero real part of a 1x3001 complex matrix in matlab without using roots function in matlab

how do you find the roots with zero real part of a 1x3001 complex matrix in matlab without using roots or eig functions in matlab

how to calculate product of a matrix and a transpose of another matrix in matlab

how to calculate the svd decomposition of a matrix in matlab

how to cast matrix into parse block diagonal system in matlab

how to create a block diagonal of 3d matrix in matlab

how to do gaussian elimination with partial pivoting in matlab

how to jacobi in matlab

in the cholesky decomposition of the matrix a =   256 64 240 64 20 54 240 54 283   (= llt ) the sum of the diagonal elements of l i in matlab

in the cholesky decomposition of the matrix a =   256 64 240 64 20 54 240 54 283   (= llt ) the sum of the diagonal elements of l is: numerical ✄ ✂ ✁ 1 point 11 ± 1e-4 in matlab

inner product of any two vectors x and y in rn. that is, the inputs are x and y and n; the output is (x, y) = x ^t y. in matlab in matlab

inverse of a matrix in matlab

let a be the hilbert matrix of order 70 (matlab command hilb). the sum of the elements of a that are lower than 0.01 is approximately in matlab

lineari s in matlab

matlab: having generated a krylov space of a[v, h] = arnoldi(a, v1, m) now having only v and h (not a), update them after you had been adding a vector dak to the kth column of a. in matlab

matlab: having generated a krylov space of a[v, h] = arnoldi(a, v1, m) now having only v and h (not a), update them after you had been adding dak to the kth column of a. in matlab

matlab: having generated a krylov space of a[v, h] = arnoldi(a, v1, m) update v and h after adding dak to the kth column of a in matlab

multivariate linear least-squares fitting in matlab

null space of a matrix in matlab

power method eigenvalue and eigenvector in matlab

power method for eigenvalues in matlab

projection of a onto v in matlab

projection of w onto b in matlab

pseudoinverse method to solve overdetermined system of equations in matlab

rotate singular values from svd in matlab

rref of an augmented matrix in matlab

set up coefficient matrix and rhs vector for a 2d unsteady heat conduction equation. use implicit euler in time and central differencing in space. then use jacobi solver in matlab

solve a linear system of equations in matlab

solve a pair of simultaneous equations in matlab

solve a system of equations using gauss-seirdel interation in matlab

solve an underdetermined set of equations with minimum norm from guess in matlab

solve ax=b matrix in matlab

solve linear set of equations of matrix via mldivide and compute confidence intervals in matlab in matlab

solve the following systems of linear equations by using the backslash operator "\". a) 2x = −3y + z + 5 3z = 2y − 4x + 10 y = −x − z + 3 in matlab

solve the system ax = b for different b’s in matlab

take transpose of a matrix in matlab

the vector x which is the solution of the linear system 2*a*(x+b)=c-b in matlab

true or false: eigenvectors of a 2 x 2 matrix are always perpendicular to each other? in matlab

use backslash function to solve the following system of equations: 1c1 + 4c2 -2c3 + 3c4 = 0 , -4c2 + 2c4 = 1 , -3c1 +c2 -c3 = 7 , 2c1 -c3 + 2c4 = 5 in matlab

use lu decomposition to fi nd a solution to the system: x + 7y − 9z = 12 2x − y + 4z = 16 x + y − 7z = 16 in matlab

v1 = x ∥x∥2 , w2 = y − αv1, v2 = w2 ∥w2∥2 . find the formula for α such that (v1, w2) = (v1, v2) = 0. then, v1, v2 form a unit orthogonal basis for the sub-space spanned by x and y in matlab

we are going to solve the system ax = b for different b’s, where a =   1.8 0.1 0.1 −1.0 −2.0 0.2 1.0 −1.3 1.3   we know that the relative error of the right hand side is at most 0.0120 in 1-norm in matlab

we are going to solve the system ax=b for different b ’s, where a=[ -0.6 0.1 -0.1 ;-1.7 -0.8 -0.2; -0.2 -1.8 -1.2]how large can be the relative error of the solution in 2 -norm? in matlab

we are going to solve the system ax=b for different b ’s, where a=[-0.3 -0.5 1.2 ; -0.9 1.3 -1.4 ; -0.5 -1.8 -1.8]how large can be the relative error of the solution in ∞ -norm? in matlab

we are going to solve the system ax=b for different b ’s, where a=[-1.6 -0.9 1.4 ; 1.6 -0.2 0.1;-1.5 0.1 -0.2]calculate the large relative error of the right hand side 1 -norm? in matlab

we are going to solve the system ax=b for different b ’s, where[-0.5 0.1 -2.0 ; 0.6 -1.7 -1.9; 0.3 0.3 0.1 ]how large can be the relative error of the right hand side in 2 -norm? in matlab

what does this do? [v,d] = eig(k,m) in matlab

what is an inconsistent solution in matlab

wie erstellt man eine transponierte matrix in matlab

write a callback code for inverse of a matrix in matlab

write a matlab function called find bases to find basis vectors for the column space and null space of a given matrix. in matlab

write a program that performs the transformation of points induced by a matrix in matlab

write a system of linear equations using gauss sidel interation solver in matlab

write code that determines the normal vector in matlab

write the system of equations in standard form, and solve it with matlab 2a+b-c=1 -a+b+c=2 a+2b=4 in matlab