# multiplying matrices

Matrices

Multiply: [■(1&2@3&0)][■(1@-1)] =

Multiply: [■(-1&2@3&1)][■(2&4@3&1)] =

Matrix A shows number of stocks holding by William and Michael:

Matrix B shows price in dollars per share:

Find inverse to the given matrix

(see instructions on Blackboard in Course Material section for week 5):

[■(2&3@3&5)]

Use Excel function MINVERSE to find inverse to the given matrix

(see instructions on Blackboard in Course Material section for week 5):

[■(1&-1&3@2&1&2@-2&-2&1)]

Find solution for the matrix equation [■(2&5@1&3)][■(x@y)] = [■(3@2)] using inverse matrix.

Tip: for matrix A = [■(2&5@1&3)] find inverse matrix A-1 .

Then multiply inverse matrix A-1 by column [■(3@2)]

[■(x@y)]= A^(-1)*[■(3@2)]

See examples posted on Blackboard in Course Material section for week 5.

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#### Solution Summary

This posting clearly identifies the process of multiplying matrices.

Multiplication matrix and inverse matrix: Real life examples

I am looking for examples of each of these, a couple of each would be great. I am having problems explaining to my daughter whom I homeschool how matrix multiplication and matrix inverse are used in our society today. Not just how each is used but how crucial this is in problem solving in real life. could you be kind enough to help with some real life samples and scenarios. Thanks for your kindness in responding.

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