Question

given the matrix below, perform the following row operation: r2 being replaced by r2 3r1? write your answer as a matrix using the following syntax: square brackets, the entries are listed by rows (with one space between each entry), with the rows separated by a semicolon. please follow this example: [4 5 12;5 6 10]

Answer 1

To perform the row operation of replacing r2 with r2 + 3*r1 on a matrix, each entry of r1 is multiplied by 3 and added to the corresponding entry of r2. The new r2 values replace the old r2 values in the matrix, while r1 remains unchanged.

Step-by-step explanation:

The question involves performing a matrix row operation. Specifically, we need to replace r2 (row 2) with r2 + 3*r1 (row 1). To do this, we'll multiply each entry in the first row (r1) by 3 and add the result to the corresponding entry in the second row (r2).

Assuming the initial matrix is something like this:

[a b c;
d e f;
g h i]

After performing the row operation, our new matrix would look like this:

[a b c;
(d+3a) (e+3b) (f+3c);
g h i]

Ensure you replace a, b, c, d, e, f, g, h, and i with the actual numbers provided in the student's matrix to perform the calculations.