Question: Q1: a. Create a random matrix (A) (4x4). b. Find the inverse of A. c. Create a random matrix (b) (1x4) d. Find the product

Q1: a. Create a random matrix (A) (4x4). b. Find the inverse of A. c. Create a random matrix (b) (1x4) d. Find the product of A*b. e. Pickup the first row of matrix (A) f. Replace the first column of matrix (A) by ones (1s) Q2: a. Define a vector (A) using linspace or other command. You can choose range and step size of your choice. b. Define another vector (B) of same length as (A). c. Take the element wise square of matrix/vector (A) d. Perform an element wise division of A and B e. Perform an element wise multiplication of A and B f. Can we multiply A*B? If Not, why? Can we do it by A*b(transpose)? Q3: Write a MATLAB program that creates matrix A composed of four submatrices (B,C,D, and E) arranged as shown below: B A = LE 9 5 Whereas B is an identity matrix of 5x5. C (5x5) consist of one in the first two columns and the rest of elements are zeros. D (5x5) consist of zeros in the first three columns the remaining two columns are ones and E is a random 5x5 matrix
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