Question

What are the dimensions of the matrix `((4, 1), (0, -1), (2, -2))`?

Answer 1

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Dimensions of the matrix: `color(red)((3 " x " 2)`

since there are 3 rows and two columns in the matrix.

Explanation:

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Consider a matrix:

`((r_1c_1, r_1c_2), (r_2c_1, r_2c_2), (r_3c_1, r_3c_2))`

In the above matrix,

`r_1` refers to Row 1.

`c_1` refers to Column 1

Similarly,

`r_2` refers to Row 2.

`c_2` refers to Column 2

and

`r_3` refers to Row 3.

`c_3` refers to Column 3

The dimension of a matrix is written in the format:

`color(blue)((m " x " n)`

where `m` is the number of rows and `n` identifies the number of columns.

Hence,

dimensions of the matrix: `color(red)((3 " x " 2)`

Hope it helps.