Chapter 4: Q20. (page 172)

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

Short Answer

Expert verified

The required matrix is, $[\begin{matrix} 8 & - 11 \\ 22 & 12 \end{matrix}]$

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.

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

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

Step 3- Write the actual product matrix

Perform simplification of obtained matrix.

$[\begin{matrix} 8 & - 11 \\ 22 & 12 \end{matrix}]$

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

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

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

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Calculus

Theoretical and Mathematical Physics

Decision Maths

Statistics

Logic and Functions

Study anywhere. Anytime. Across all devices.

Find each product, if possible.3−251⋅4127

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

Geometry

Calculus

Theoretical and Mathematical Physics

Decision Maths

Statistics

Logic and Functions

Study anywhere. Anytime. Across all devices.

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