2. Complete the following problems and submit them in your PDF file. Make sure to show your work and to do so in a neat and orderly manner.a. Given

What are:i.ii.A(1,3) = ?A(3,2)= ? b. Given the A and B matrices above, what is:

Perform the following matrix operation on matrix A and show the resulting new A matrix after the operation: 2 \mathrm{R} 1+\mathrm{R} 2 \rightarrow \mathrm{R} 3 d. State whether each of the following matrix operations is possible. If the operation is possible please show the answer as well.

e. Represent the following equation system in Ax=b format by showing what your A matrix and x and b vectors are for the problem. Then also show the augmented matrix that would be used to solve the system of equations using Gaussian Elimination with Back Substitution or using Gauss-Jordan.

f. Solve the system of equations given in Part e above using Gaussian Elimination with Back Substitution. Be sure to show clearly the row operations you use during elimination of the augmented matrix into upper triangular format for the A portion of the matrix.