Chapter 4: Q47. (page 174)

Perform the indicated matrix operations. If the matrix does not exist, write impossible47. $3 [\begin{matrix} 4 & - 2 \\ - 1 & 7 \end{matrix}]$

Short Answer

Expert verified

The answer is $[\begin{matrix} 12 & - 6 \\ - 3 & 21 \end{matrix}]$

Step by step solution

- State the definition of a matrix.

A rectangular array of numbers arranged in rows and columns is called a matrix.

- Solve the matrix.

To evaluate the matrix use scalar multiplication.

Scalar multiplication is the method in which matrix is multiplied by a constant called scalar.

The matrix is: $3 [\begin{matrix} 4 & - 2 \\ - 1 & 7 \end{matrix}]$

Here, 3 is the scalar. Multiply each element of the matrix by 3.

$3 [\begin{matrix} 4 & - 2 \\ - 1 & 7 \end{matrix}] = [\begin{matrix} 12 & - 6 \\ - 3 & 21 \end{matrix}]$

- State the conclusion.

Therefore, the resultant matrix is $[\begin{matrix} 12 & - 6 \\ - 3 & 21 \end{matrix}]$

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Perform the indicated matrix operations. If the matrix does not exist, write impossible47. $3 [\begin{matrix} 4 & - 2 \\ - 1 & 7 \end{matrix}]$

Short Answer

Step by step solution

- State the definition of a matrix.

- Solve the matrix.

- State the conclusion.

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Perform the indicated matrix operations. If the matrix does not exist, write impossible47.3[4−2−17]

Short Answer

Step by step solution

- State the definition of a matrix.

- Solve the matrix.

- State the conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

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Theoretical and Mathematical Physics

Geometry

Calculus

Decision Maths

Study anywhere. Anytime. Across all devices.

Perform the indicated matrix operations. If the matrix does not exist, write impossible47. $3 [\begin{matrix} 4 & - 2 \\ - 1 & 7 \end{matrix}]$