Chapter 4: Q63. (page 188)

Find the product, if possible.
$(\begin{matrix} 4 & 2 & 0 \end{matrix}) (\begin{matrix} 3 & - 2 \\ 1 & 0 \\ 5 & 6 \end{matrix})$

Short Answer

Expert verified

The product is $(\begin{matrix} 14 & - 8 \end{matrix})$ .

Step by step solution

Step 1- Apply the concept of multiplication of matrix.

Matrix multiplication is a binary operation that produces a matrix from two matrices. For matrix multiplication, the number of columns in the first matrix must be equal to the number of rows in the second matrix.

Step 2- Step description.

Consider the matrix $(\begin{matrix} 4 & 2 & 0 \end{matrix}) (\begin{matrix} 3 & - 2 \\ 1 & 0 \\ 5 & 6 \end{matrix})$ .

Multiply the matrix as follows:

$\begin{array}{l} = (\begin{matrix} 4 \cdot 3 + 2 \cdot 1 + 0 \cdot 5 & 4 (- 2) + 2 \cdot 0 + 0 \cdot 6 \end{matrix}) \\ = (\begin{matrix} 14 & - 8 \end{matrix}) \end{array}$

Step 3- Step description.

Therefore, the product of the matrix is $(\begin{matrix} 14 & - 8 \end{matrix})$ .

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Find the product, if possible.
$(\begin{matrix} 4 & 2 & 0 \end{matrix}) (\begin{matrix} 3 & - 2 \\ 1 & 0 \\ 5 & 6 \end{matrix})$

Short Answer

Step by step solution

Step 1- Apply the concept of multiplication of matrix.

Step 2- Step description.

Step 3- Step description.

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Find the product, if possible.4203-2 10 56

Short Answer

Step by step solution

Step 1- Apply the concept of multiplication of matrix.

Step 2- Step description.

Step 3- Step description.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

Discrete Mathematics

Applied Mathematics

Theoretical and Mathematical Physics

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Calculus

Study anywhere. Anytime. Across all devices.

Find the product, if possible.
$(\begin{matrix} 4 & 2 & 0 \end{matrix}) (\begin{matrix} 3 & - 2 \\ 1 & 0 \\ 5 & 6 \end{matrix})$