Question

Give the order of the matrix, and identify the given element of the matrix. 10 -11 8 -4 14 13 -8 11; a12 A. 4 × 2; -11 B. 4 × 2; 14 C. 2 × 4; 14 D. 2 × 4; -11

Answer 1

Option D. 2×4 ; (-11)

Explanation:

The given matrix is
`\begin{bmatrix}10 & -11 & 8 & 4\\ 14 & 13 & -8 & 11\end{bmatrix}`

Now we can count, there are two rows and four columns.

Order of any matrix is always represented as [row × column]

Therefore, order of the given matrix will be [2×4]

Element of any matrix is represented by
`a_(\text(row* column))`

Therefore,
`a_(12)` means term of 1st row and 2nd column, which is -11

SO the correct option is D.

Answer 2

The order of a matrix is its dimensions, expressed as (rows x columns). In this case, we have 2 rows and 4 columns, therefore, the order of the matrix is (2 x 4). The element a12 means matrix A, row 1, column 2.

By observation, this is -11.