Chapter 4: Q44. (page 166)

State the dimensions of each matrix.
44. $[\begin{matrix} 1 & 0 \\ 0 & 1 \end{matrix}]$

Short Answer

Expert verified

The dimension of the matrix is $2 \times 2$ .

Step by step solution

- Define the dimension of the matrix

A matrix A with m rows and n columns is a matrix of dimensions $m \times n$ .

- State an example

Let us consider a matrix $A = [\begin{matrix} 1 & 2 & - 3 \\ 0 & 1 & 4 \end{matrix}]$ . Clearly, matrix A has 2 rows and 3 columns, therefore, the dimension of matrix A will be $2 \times 3$ .

- State the dimension of 1001

In order to state the dimension of the matrix $[\begin{matrix} 1 & 0 \\ 0 & 1 \end{matrix}]$ , observe that the matrix has 2 rows and 2 columns, therefore, the dimension of matrix will be $2 \times 2$ .

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State the dimensions of each matrix.
44. $[\begin{matrix} 1 & 0 \\ 0 & 1 \end{matrix}]$

Short Answer

Step by step solution

- Define the dimension of the matrix

- State an example

- State the dimension of 1001

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State the dimensions of each matrix.44.1001

Short Answer

Step by step solution

- Define the dimension of the matrix

- State an example

- State the dimension of 1001

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

Pure Maths

Theoretical and Mathematical Physics

Discrete Mathematics

Mechanics Maths

Statistics

Study anywhere. Anytime. Across all devices.

State the dimensions of each matrix.
44. $[\begin{matrix} 1 & 0 \\ 0 & 1 \end{matrix}]$