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Precalculus Enhanced with Graphing Utilities

Sullivan

$Math Studyset 91影视 Explanations$ Math

6th Edition 路 1200 pages

ISBN: 9780321795465

Chapter 11: Q. 3 (page 755)

To find the product AB of two matrices A and B, the number
of _ in matrix A must equal the number of_ in
matrix B.

Short Answer

Expert verified

Columns , rows.

Step by step solution

Step 1. Given Information

Two matrix A & B.

Step 2. Calculation

$C o n s i d e r t w o m a t r i x A & B l e t A = {[\begin{matrix} 1 & 2 \\ 3 & 4 \end{matrix}]}_{2 脳 2} B = {[\begin{matrix} 3 & 2 \end{matrix}]}_{1 脳 2} A B = {[\begin{matrix} 1 & 2 \\ 3 & 4 \end{matrix}]}_{2 脳 2} 脳 {[\begin{matrix} 3 & 2 \end{matrix}]}_{1 脳 2}$

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Most popular questions from this chapter

The difference of two numbers is the same as their product, and the sum of their reciprocals is $5$ . Find the numbers.

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Verify that the values of the variables listed are solutions of the system of equations.

$\{\begin{matrix} \begin{array}{rcl} 4 x - 5 z & = & 6 \\ 5 y - z & = & - 17 \end{array} \\ - x - 6 y + 5 z = 24 \end{matrix} x = 4, y = - 3, z = 2; (4, - 3, 2)$

Verify that the values of the variables listed are solutions of the system of equations.

$\{\begin{matrix} \begin{array}{rcl} 3 x + 3 y + 2 z & = & 4 \\ x - y - z & = & 0 \end{array} \\ 2 y - 3 z = - 8 \end{matrix} x = 1, y = - 1, z = 2; (1, - 1, 2)$

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To find the product AB of two matrices A and B, the numberof _______ in matrix A must equal the number of_______ inmatrix B.

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Calculation

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To find the product AB of two matrices A and B, the number
of _ in matrix A must equal the number of_ in
matrix B.