Chapter 4: Q46. (page 173)

What is the product of $[\begin{matrix} 5 & - 2 & 3 \end{matrix}]$ and $[\begin{matrix} 1 & - 2 \\ 0 & 3 \\ 2 & 5 \end{matrix}]$
A. $[\begin{matrix} 11 & - 1 \end{matrix}]$
B. $[\begin{matrix} 11 \\ - 1 \end{matrix}]$
C. $[\begin{matrix} 5 & - 10 \\ 0 & - 6 \\ 6 & - 15 \end{matrix}]$
D. undefined

Short Answer

Expert verified

The correct option is A.

Step by step solution

Step 1- Make the first column of product matrix

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

$[\begin{matrix} 5 \cdot 1 + (- 2) \cdot 0 + 3 \cdot 2 \end{matrix}]$

– Make the second column of product matrix

Write the multiplication of row of first matrix and second column of second matrix and form the second column of product matrix

Step 3- Write the actual product matrix

Perform simplification of obtained matrix.

$[\begin{matrix} 11 & - 1 \end{matrix}]$

The obtained matrix is matching with option A so it is the correct option.

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What is the product of $[\begin{matrix} 5 & - 2 & 3 \end{matrix}]$ and $[\begin{matrix} 1 & - 2 \\ 0 & 3 \\ 2 & 5 \end{matrix}]$
A. $[\begin{matrix} 11 & - 1 \end{matrix}]$
B. $[\begin{matrix} 11 \\ - 1 \end{matrix}]$
C. $[\begin{matrix} 5 & - 10 \\ 0 & - 6 \\ 6 & - 15 \end{matrix}]$
D. undefined

Short Answer

Step by step solution

Step 1- Make the first column of product matrix

– Make the second column of product matrix

Step 3- Write the actual product matrix

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What is the product of [5−23]and[1−20325]A.[11−1]B.[11−1]C.[5−100−66−15]D. undefined

Short Answer

Step by step solution

Step 1- Make the first column of product matrix

– Make the second column 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

Applied Mathematics

Decision Maths

Statistics

Mechanics Maths

Logic and Functions

Geometry

Study anywhere. Anytime. Across all devices.

What is the product of $[\begin{matrix} 5 & - 2 & 3 \end{matrix}]$ and $[\begin{matrix} 1 & - 2 \\ 0 & 3 \\ 2 & 5 \end{matrix}]$
A. $[\begin{matrix} 11 & - 1 \end{matrix}]$
B. $[\begin{matrix} 11 \\ - 1 \end{matrix}]$
C. $[\begin{matrix} 5 & - 10 \\ 0 & - 6 \\ 6 & - 15 \end{matrix}]$
D. undefined