If P, Q and R are three singular matrices given by P = bmatrix 2 & 3a \\ 4 & 3 bmatrix, Q = bmatrix b & 5 \\ 2a & 6 bmatrix and R = bmatrix a^2 + b^2 - c & 1 - c \\ c + 1 & c bmatrix, then the value of (2a + 6b + 17c) is Option 1: 30 Option 2: 18 Option 3: 34 Option 4: 24

The answer is '24'. View full solution:

Algebra > Matrices & Determinants

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If $P$, $Q$ and $R$ are three singular matrices given by $P = \begin{bmatrix} 2 & 3a \\ 4 & 3 \end{bmatrix}$, $Q = \begin{bmatrix} b & 5 \\ 2a & 6 \end{bmatrix}$ and $R = \begin{bmatrix} a^2 + b^2 - c & 1 - c \\ c + 1 & c \end{bmatrix}$, then the value of $(2a + 6b + 17c)$ is

✅ Correct Option: 4

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