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

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Answer 1 · 2018-08-07T02:26:05

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

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

#" "#
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.