Refer to page 55 for a system of linear equations. Solve the system using matrix methods, including Gaussian elimination or inverse matrix methods. Clearly outline each step and show all intermediate calculations. Instructions: Stick strictly to the problem. Provide a clear outline, solve step-by-step, and show all matrix calculations in detail. Avoid irrelevant explanations. Link: [https://drive.google.com/file/d/1wKSrun-GlxirS31Z9qoHazb9tC440AZF/view?usp=sharing]

Write each system of linear equations as an augmented matrix. 377. {4x+3y=2x2y3z=72xy+2z=6

Write each system of linear equations as an augmented matrix: (a) {3x+8y=32x=5y3 (b){2x5y+3z=83xy+4z=7x+3y+2z=3

Solve: {3x4z=12y+3z=22x+3y=6 .

Explain what is meant by the minor of an entry in a square matrix.

Perform the needed row operation that will get the first entry in row 2 to be zero in the augmented matrix: [1123|32] .

Can we multiply any column matrix by any row matrix? Explain why or why not.

Solve for x and y in the matrix equation 2AB=I, given A=[1123] and B=[x2y5].

Can a matrix with an entire column of zeros have an inverse? Explain why or why not.

Perform the indicated operations on the augmented matrix: (a) Interchange rows 1 and 2, (b) Multiply row 1 by 2, (c) Multiply row 2 by 3 and add to row 1. [232413504| 42 1]