8. For the matrixA = 2 22 1 8 a) Find a basis for the row space of A. b) Find a basis for the column space of A. c) What is the rank of A? d) Find the nullspace of A and give the nullity of A. 0 4 - 2 - 6

Q: Is the span of a matrix A is the same as the column space of A? T or F

A: We shall answer this question in next step

Q: Find the LU factorization of the matrix: A = 1 2 0 -1 -1 3 4]. 3 -2 -8 2 Show all the steps of your…

A: Answer is given in below stepsExplanation:Step 1: Step 2: Step 3: Step 4:

Q: 4 Compute x using the vectors w = -2 and x = (Simplify your answer. Type an integer or simplified…

A:

Q: Let A = [3 -6]  construct a 2x2 matrix B such that AB is the zero matrix. use two different non-zero…

A:

Q: If A is an orthogonal matrix, find a QR factorization of A.

A: We have to find out the QR factorisation of an orthogonal matrix A.

Q: 2. Encode the message "TUESDAY" using the matrix A =

A: