Please make sure program is done in MIPS in mars simulator.

Problem 3: Vector Matrix Multiplication (20 Marks) Given a MxN matrix A and an N dimensional vector x. Matrix Vector product of Ax=B is shown below: For example: A= A 11 A12 X = Aiz A23 (x1,x2, X3) A2, A22 [ - A 1 Aiz AX = + Arz .X + A13 X3 All .X, Aiz A23 Xi X2 Azi A22 . A21. X + A22. X2 + .3. 3 for A= 1 -1 2 and X = (2, 1,0) 0 -3 1 2 1.2 1 - 1 - 1 AX 5 0 2 1 - JA + (-1). 1 t 2.0 + (-3).1 + 1. 0.2 -3 Perform the matrix vector multiplication by assuming the following: 1. Size of the matrix (M, N) is written in the memory at address 0x10010000 and Ox 10010004. 2. Starting the from the very next location 0x10010008, matrix A is written in row-major order in contiguous memory location. 3. After the matrix A, the vector X is written in contiguous memory locations. 4. Store the result vector B from the very next location after the Input vector X ends. You can test your program using given Matrix A and vector x below. A= 3 1 4 2 5 6 x=(1, 2, 3) Output vector B = (14, 32)