Question

If \( x = -9 \) is a root of \( \begin{pmatrix} 2 & 3 \\ 7 & 6 \end{pmatrix} \times \begin{pmatrix} x \end{pmatrix} = 0 \), then other two roots are:

• A. 3, 7
• B. 2, 7
• C. 3, 6
• D. 2, 6

Hint:

When solving matrix equations, ensure to handle the determinant and matrix operations carefully to extract the roots.

Answer 1

The Correct Option is B

Step 1: Understand the given system. The matrix equation indicates the solution for the unknowns and their roots. For a system like this, solving it will give us the other roots.
Step 2: Conclusion. Thus, the other roots are 2 and 7.