This document discusses various matrix operations including addition, subtraction, multiplication by a scalar, and matrix multiplication. It defines a matrix as a rectangular arrangement of numbers in rows and columns with an order specified by the number of rows and columns. It explains that to add or subtract matrices they must have the same order, and performing those operations involves adding or subtracting the corresponding entries. It also explains that multiplying a matrix by a scalar involves multiplying each entry of the matrix by the scalar. Matrix multiplication is defined as taking the numbers in each row of the first matrix and multiplying them by the corresponding numbers in the columns of the second matrix, with the result being that the number of columns of the first matrix must equal the number of rows of the

1. Matrix Operations

3. What is the order? 3 x 3 3 x 5 2 x 2 4 x 1 1 x 4 (or square matrix) (Also called a row matrix) (or square matrix) (Also called a column matrix)

5. = = 7 7 4 5 0 7 5 7

7. = 5-2 -4-1 3-8 8-3 0-(-1) -7-1 1-(-4) 2-0 0-7 = 2 -5 -5 5 1 -8 5 3 -7

9. -2 6 -3 3 -2(-3) -5 -2(6) -2(-5) -2(3) 6 -6 -12 10

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