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Multiplying Matrices

Multiplying Matrices. Review: Scalar Multiplication. **You can only multiply two matrices if the number of columns in the 1 st matrix is equal to the number of rows in the 2 nd matrix. Dimensions:. 3 x 2. 2 x 3. They must match. The dimensions of your answer. Examples:.

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Multiplying Matrices

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  1. Multiplying Matrices

  2. Review: Scalar Multiplication

  3. **You can only multiply two matrices if the number of columns in the 1st matrix is equal to the number of rows in the 2nd matrix. Dimensions: 3 x 2 2 x 3 They must match. The dimensions of your answer.

  4. Examples: 2(3) + -1(5) 2(-9) + -1(7) 2(2) + -1(-6) 3(-9) + 4(7) 3(2) + 4(-6) 3(3) + 4(5)

  5. Dimensions: 2 x 3 2 x 2 *They don’t match so can’t be multiplied together.*

  6. 2 x 2 2 x 2 *Answer should be a 2 x 2 0(4) + (-1)(-2) 0(-3) + (-1)(5) 1(4) + 0(-2) 1(-3) +0(5)

  7. The Salem youth baseball and softball leagues charge the following registration fees: ages 7-8, $45; ages 9-10, $55; and ages 11-14, $65 • Write a matrix for the registered fees and a matrix for the number of players. • Find the total amount of money the league received from baseball and softball registrations.

  8. Carmen Fox owns three fruit farms on which he grows apples, peaches, and apricots. He sells apples for $22 a case, peaches for $25 a case, and apricots for $18 a case. • Write an inventory matrix for the number of cases for each type of fruit for each farm. • Write a cost matrix for the price per case for each type of fruit. • Find the total income of the three fruit farms expressed as a matrix. • What is the total income from all three fruit farms combined?

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