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multiplying matrices

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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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This posting clearly identifies the process of multiplying matrices.

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Multiplication matrix and inverse matrix: Real life examples

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