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Published byGregory Hardy Modified over 8 years ago

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Row 1 Row 2 Row 3 Row m Column 1Column 2Column 3 Column 4

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A matrix of m rows and n columns is called a matrix with dimensions m x n. 2 X 3 3 X 3 2 X 1 1 X 2

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3 X 22 X 23 X 3 1 X 22 X 11 X 1

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To add matrices, we add the corresponding elements. They must have the same dimensions. A + B

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When a zero matrix is added to another matrix of the same dimension, that same matrix is obtained.

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To subtract matrices, we subtract the corresponding elements. The matrices must have the same dimensions.

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ADDITIVE INVERSE OF A MATRIX:

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Find the additive inverse:

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Scalar Multiplication: We multiply each # inside our matrix by k.

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Scalar Multiplication:

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6x+8=26 6x=18 x=3 10-2y=8 -2y=-2 y=1

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Associative Property of Addition (A+B)+C = A+(B+C) Commutative Property of Addition A+B = B+A Distributive Property of Addition and SubtractionS(A+B) = SA+SB S(A-B) = SA-SB NOTE: Multiplication is not included!!!

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