If A and B are invertible matrices of order 3, |A| = 2 and |(AB)^-1| = -1/6, then the value of |B| is : Option 1: 3 Option 2: -3 Option 3: 2 Option 4: 1/6

The answer is '-3'. View full solution:

CUET Mathematics - If A and B are invertible matrices of order 3, |A| = 2 and |(AB)^-1| = -1/6, then the value of |B| is : | PYQs + Solutions

CUET Mathematics 2023 30 May Shift 3

Algebra

Medium

$-3$

$\frac{1}{6}$

✅ Correct Option: 2

Related questions:

25 May Shift 1

If $\begin{vmatrix} 2 & 3-x \\ x & 1 \end{vmatrix} = 0$ , then the values of $x$ are:

3 June Shift 1

The integral value of k for which the system of linear equations $kx + y + 2z = 0$ , $ky = x - 3z$ and $2x + y + kz = 0$ has a non-zero solution is

30 May Shift 1

The system of equations $x + y - z = 1, 3x + y - 2z = 3, x - y + \lambda z = 1$ has infinite number of solutions if $\lambda$ is equal to