 # 4.2 Operations with Matrices Scalar multiplication.

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4.2 Operations with Matrices Scalar multiplication

Matrix can be named by a Capital letter. Here is Matrix A

Adding and Subtracting Matrices To add or subtract the matrices must have the same dimension. Every element in the matrix is added to the same element in the same row and column in the other matrix

Adding and Subtracting Matrices To add or subtract the matrices must have the same dimension. Every element in the matrix is subtracted from the same element in the same row and column in the other matrix

Increasing the matrix To increase the size of equations in a matrix we multiply by a scalar. A scalar is a number that multiplies every element in the matrix. If Find 4B

Find 4B

Find 3C

Properties of Matrix Operations Given any Matrix A,B or C Commutative Property of Addition A + B = B + A Associative Property of Addition (A + B) + C = A + (B + C) Distributive Property, with scalar q q(A + B) = qA + qB

Homework Page 164 – 166 #15 – 21 odd, 30 – 32, 45- 55 odd

Homework Page 164 – 166 #14 – 22 even, 33 – 35, 44- 52 even, 59 - 62