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Matrices and Determinants question

2025 · 22 Jan · Shift 2 · Q28

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JEE Main
Mathematics
Matrices and Determinants
2025 · 22 Jan · Shift 2 · Q28

Matrices and Determinants question

2025 · 22 Jan · Shift 2 · Q28

JEE MainMathematicsMatrices and DeterminantsMCQ+4 / −1

If the system of linear equations :

\begin{aligned} & x+y+2 z=6 \\ & 2 x+3 y+\mathrm{az}=\mathrm{a}+1 \\ & -x-3 y+\mathrm{b} z=2 \mathrm{~b} \end{aligned}

where

a, b \in \mathbf{R}

, has infinitely many solutions, then

7 a+3 b

is equal to :

A
12
B
9
C
22
D
16

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