Question:medium
If \( \begin{bmatrix} 1 & x & 1 \end{bmatrix} \begin{bmatrix} 1 & 3 & 2 \\ 0 & 5 & 1 \\ 0 & 2 & 0 \end{bmatrix} \begin{bmatrix} 1 \\ 1 \\ x \end{bmatrix} = 0 \), then the values of \( x \) are:
If \( \begin{bmatrix} 1 & x & 1 \end{bmatrix} \begin{bmatrix} 1 & 3 & 2 \\ 0 & 5 & 1 \\ 0 & 2 & 0 \end{bmatrix} \begin{bmatrix} 1 \\ 1 \\ x \end{bmatrix} = 0 \), then the values of \( x \) are:
Show Hint
Always double-check the arithmetic of the middle term in the row-matrix multiplication, as it often contains the bulk of the variable terms.
Updated On: May 2, 2026
- $1, 5$
- $-1, -5$
- $1, 6$
- $-1, -6$
- $3, 3$
Show Solution
The Correct Option is D
Solution and Explanation
Was this answer helpful?
0
Top Questions on types of matrices
- If \( A = \begin{vmatrix} 1 & a & a^2 \\ 1 & b & b^2 \\ 1 & c & c^2 \\ \end{vmatrix} \), then the value of \( A \) is:
- BITSAT - 2025
- Mathematics
- types of matrices
- If A=bmatrix1&3
3&2
2&5bmatrix and B=bmatrix-1&-2
0&5
3&1bmatrix and A+B-D=0 (zero matrix), then D matrix will be- BITSAT - 2010
- Mathematics
- types of matrices
- The matrix A²+4A-5I, where I is identity matrix and A=bmatrix1&2
4&-3bmatrix, equals:- BITSAT - 2011
- Mathematics
- types of matrices
- If R(t)= beginpmatrix cos t & sin t
-sin t & cos t endpmatrix, then R(s)R(t) equals- BITSAT - 2021
- Mathematics
- types of matrices
- Want to practice more? Try solving extra ecology questions todayView All Questions
