Question:
The matrix is a singular matrix, if b equals
The matrix is a singular matrix, if b equals
Updated On: Apr 24, 2024
- -3
- 3
- 0
- any value
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The Correct Option is D
Solution and Explanation
Explanation:
The matrix \(\begin{bmatrix} 5 & 10 & 3 \\ -2 & -4 & -6 \\ -1 & -2 & b \end{bmatrix}\) is singular, if \(\begin{vmatrix} 5 & 10 & 3\\ -2 & -4 & 6\\ -1 & -2 & b \end{vmatrix} = 0\)
⇒ The given matrix is singular for any
⇒ −1(60+12) + 2(30+6) + b(−20+20) = 0
⇒ −72 + 72 + 0b = 0
⇒ 0 = 0
Therefore, there is no specific value.
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