Compute a QR decomposition of the matrix
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- Orthogonal linear operator : has the standard basis matrix: Find an orthonormal basis in which the operator matrix has a canonical form and write out this matrix. Specify the axis and angle of rotation defined by the operatorGenerate a 4 x 4 Identity matrixChoose Matlab Aim: Perform the operation of Transpose and inverse of a given matrix. Show output.
- Consider the matrices (1 2; 3 4 ) and (5 6; 7 8) Find the regular matrix product (You can use Scilab or Octave to do matrix manipulations Find the Tensor Multiplication of these matricesDo all mxn matrix has a determinant?Write a code to perform an LU decomposition of the coefficient matrix [A] (given below) using L-U decomposition with Gauss elimination. Your code should output [L] and [U] as well as verify that: Use the following MATLAB matrix function only to check your answer: where A = [1 3 6; 4 5 8; 1 2 3].
- using python code Deermine L and D that result from Doolittle's decomposition of the symmetric matrix A=[ [2,-2,0,0,0],[-2,5,-6,0,0],[0,-6,16,12,0],[0,0,12,39,-6],[0,0,0,-6,14]]Draw the corresponding graph for the weighted matrixUsing MATLAB or Octave Consider the following Matrices: 43 9 74 2 5 6 7 87 35 62 12 A = 1 2 3 B = 15 8 73 9 8 9 0 34 85 9 43 Using single index notation, find the index numbers of the elements in Matrix A that are greater than or equal to 4.
- Using some decomposition method. In addition to the system solution, also show the decomposed matrices. code with python.Using MATLAB Coding, determine the roots of the following function using matrix algebra involving the Bisection Method: f(x) = sin x in the proximity of x = 6 Note: You may or may not start with x = 6 as an initial guess Additionally, please give comments/guide on the process.Study the Hamming code and construct For Hamming(7,4) 1. The generating matrix2. The Parity check matrix.