Matrix Operations in Excel Choose three 5 by 5 matrices, label one as A, one as B, and one as C. Demonstrate how to use Excel to add and multiply matrices to prove the following properties of...

Matrix Operations in Excel Choose three 5 by 5 matrices, label one as A, one as B, and one as C. Demonstrate how to use Excel to add and multiply matrices to prove the following properties of matrices. HINT! Remember, in math, we always work from the inside out! Explain all steps in a Word document. (a) Cumulative property for addition: A+B=B+ A (b) Associative property for addition: A+(B+C) = (A+B) + C (c) Associative property of matrix multiplication: 4BC) =(AB)C (d) Distributive property of matrix multiplication: AB+C) = AB+ (e) Identity property: 1A = Als - A AC 1 2. Inverse of a Matrix in Excel Find the inverse of your matrix A using Excel. Explain all steps in a Word document. 3. Using Excel to Solve Ax=b Using your matrix A from the first problem, and your inverse in the second problem, solve Ax = b for x in Excel using ON Explain all steps in a Word document.