Question

Write the third column of the matrix as a linear combination of the first two columns, if possible. (If not possible, enter IMPOSSIBLE on both answer blanks.) 1 2 15 7 8 57 6 5 34

Answer 1

Answer:

Elements in third column = - (elements in the first column) + 8(elements in the second column)

Step-by-step explanation:

A matrix is a rectangular array in which elements are arranged in a rows and columns.

Order of a matrix = Number of rows × Number of columns

Given matrix is $\left[\begin{array}{ccc}1&2&15\\7&8&57\\6&5&34\end{array}\right]$

Here,

$15=-1+8(2)\\57=-7+8(8)\\\34=-6+8(5)$

So,

Elements in third column = - (elements in the first column) + 8(elements in the second column)