Chapter 4: Q23. (page 172)

Find each product, if possible.
$[\begin{matrix} 2 & - 1 \\ 3 & 4 \end{matrix}] \cdot [\begin{matrix} 3 & - 9 & - 2 \\ 5 & 7 & - 6 \end{matrix}]$

Short Answer

Expert verified

The required matrix is,

$[\begin{matrix} 1 & - 25 & 2 \\ 29 & 1 & - 30 \end{matrix}]$

Step by step solution

Step 1- Make the first row of product matrix

Write the multiplication of first row of first matrix and each column of second matrix and perform addition between the multiplications to form the first row of product matrix.

$[\begin{matrix} 2 \cdot 3 + (- 1) \cdot 5 & 2 \cdot (- 9) + (- 1) \cdot (7) & 2 \cdot (- 2) + (- 1) \cdot (- 6) \end{matrix}]$

– Make the second row of product matrix

Write the multiplication of second row of first matrix and each column of second matrix and perform addition between the multiplications to form the second row of product matrix

$[\begin{matrix} 2 \cdot 3 + (- 1) \cdot 5 & 2 \cdot (- 9) + (- 1) \cdot (7) & 2 \cdot (- 2) + (- 1) \cdot (- 6) \\ 3 \cdot 3 + 4 \cdot 5 & 3 \cdot (- 9) + 4 \cdot 7 & 3 \cdot (- 2) + 4 \cdot (- 6) \end{matrix}]$

Step 3- Write the actual product matrix

Perform simplification of obtained matrix.

$[\begin{matrix} 1 & - 25 & 2 \\ 29 & 1 & - 30 \end{matrix}]$

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Find each product, if possible.
$[\begin{matrix} 2 & - 1 \\ 3 & 4 \end{matrix}] \cdot [\begin{matrix} 3 & - 9 & - 2 \\ 5 & 7 & - 6 \end{matrix}]$

Short Answer

Step by step solution

Step 1- Make the first row of product matrix

– Make the second row of product matrix

Step 3- Write the actual product matrix

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Find each product, if possible.[2−134]⋅[3−9−257−6]

Short Answer

Step by step solution

Step 1- Make the first row of product matrix

– Make the second row of product matrix

Step 3- Write the actual product matrix

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Pure Maths

Applied Mathematics

Discrete Mathematics

Logic and Functions

Geometry

Study anywhere. Anytime. Across all devices.

Find each product, if possible.
$[\begin{matrix} 2 & - 1 \\ 3 & 4 \end{matrix}] \cdot [\begin{matrix} 3 & - 9 & - 2 \\ 5 & 7 & - 6 \end{matrix}]$