Chapter 4: Q9. (page 171)

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

Short Answer

Expert verified

The required matrix is,

$[\begin{matrix} 24 \\ 41 \end{matrix}]$

Step by step solution

Step 1- Make the first row of product matrix

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

$[4 \cdot 7 + (- 1) \cdot 4]$

– Make the second row of product matrix

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

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

Step 3- Write the actual product matrix

Perform simplification of obtained matrix.

$[\begin{matrix} 24 \\ 41 \end{matrix}]$

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

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.4−135⋅74

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

Decision Maths

Discrete Mathematics

Theoretical and Mathematical Physics

Logic and Functions

Mechanics Maths

Geometry

Study anywhere. Anytime. Across all devices.

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