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**Section 13-4: Matrix Multiplication**

Objective: Scalar Multiplication. Matrix Properties. Identify whether or NOT matrices can be multiplied. Matrix Multiplication.

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Scalar Multiplication: To perform scalar multiplication, multiply each element in the matrix by the scalar.

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**Matrix Properties (see pg. 586)**

1) 2) 3) Note: Division of matrices is NOT possible. 4) 5) Dc=-34, Dx=34, Dy=-136, x=-1, y=4

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**Can the Matrices Be Multiplied?**

For matrix multiplication to be possible, the number of columns of the first matrix must be the same as the number of rows of the second matrix. 1) ) 4) 5) )

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**Multiplication Example**

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A rectangular array of numeric or algebraic quantities subject to mathematical operations. The regular formation of elements into columns and rows.

A rectangular array of numeric or algebraic quantities subject to mathematical operations. The regular formation of elements into columns and rows.

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