To show: When the entire second row of a 3 by 3 determinant is multiplied by a number k ,
Explanation of Solution
Given information:
The determinant of a 3 by 3 matrix.
Formula used:
For the matrix of order
The determinant is given as
Proof:
Consider a 3 by 3 matrix say,
Now, denote the determinant of the above matrix as,
Compute it,
Now, multiply the entire second row by a number k ,
Now, denote the determinant of the above matrix as,
Compute it,
Observe that,
Hence, it is shown that when the entire second row of a 3 by 3 determinant is multiplied by a number k ,
Chapter 11 Solutions
Precalculus
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