Question

What are C12, C31, and C22 of matrix C?

[ 16

-3

| 4

] [-0.5

0 + 5

-10 -3

o

8

14

Answer 1

Answer:C12=-3, C31=0, C22=0+5

Step-by-step explanation:

Matrix is the arrangement of elements in ROWS and COLUMNS

ROWS is the horizontal arrangement of elements.

Columns is the vertical arrangement of elements.

So in th matrix C

C12 means element of matrix C located at the point of intersection between first row and second column

C31 means element of matrix C located at the point of intersection between third row and first column

C22 means element of matrix C located ad the point of intersection between second row and second column.

Answer 2

The element of a matrix is the different values that are in a matrix. The value of C₁₂, C₃₁, and C₂₂ of matrix C is 9, 1, and 8.

What are the elements of a matrix?

The element of a matrix is the different values that are in a matrix. An element of a matrix is represented by the name of matrix and subscript row and column. As shown below in the image.

In order to find the value of the elements C12, C31, and C22 of matrix C, we need to know the value of the matrix C, therefore, the value of the matrix C is,

$C = \left[\begin{array}{ccc}16&9\\-3&0\\4&-10\end{array}\right] + \left[\begin{array}{ccc}0.5&0\\5&8\\-3&14\end{array}\right] \\\\\\C=\left[\begin{array}{ccc}16+0.5&9+0\\-3+5&0+8\\4+(-3)&-10+14\end{array}\right] \\\\\\C = \left[\begin{array}{ccc}16.5&9\\2&8\\1&4\end{array}\right]$

Now, the element of the matrix C is

$C_{12} = 9\\\\C_{31} = 1\\\\and\ C_{22} = 8$

Hence, the value of C₁₂, C₃₁, and C₂₂ of matrix C is 9, 1, and 8.

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