If bmatrix-2 & 0\\ x & 4bmatrix+3bmatrixy & 0\\ 2 & -1bmatrix=I, where I is 2x2 unit matrix, then the value of x and y are: Option 1: x=0, y=2 Option 2: x=-6, y=1 Option 3: x=-3, y=1 Option 4: x=0, y=3

Answer: x=-6, y=1. Solution: Adding gives bmatrix-2+3y&0\+6&1bmatrix. Comparing with I: -2+3y=1 so y=1, and x+6=0 so x=-6. The lower-right entry 4-3=1 is consistent.

Algebra

Matrices & Determinants

Easy

applied

If $\begin{bmatrix}-2 & 0\\ x & 4\end{bmatrix}+3\begin{bmatrix}y & 0\\ 2 & -1\end{bmatrix}=I$ , where $I$ is $2\times2$ unit matrix, then the value of $x$ and $y$ are:

$x=0, y=2$

$x=-6, y=1$

$x=-3, y=1$

$x=0, y=3$

✅ Correct Option: 2

Adding gives $\begin{bmatrix}-2+3y&0\\x+6&1\end{bmatrix}$ . Comparing with $I$ : $-2+3y=1$ so $y=1$ , and $x+6=0$ so $x=-6$ . The lower-right entry $4-3=1$ is consistent.

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Match the LIST-I with LIST-II

LIST-I	LIST-II
A. $\begin{vmatrix} x+2 & 3 \\ x+5 & 4 \end{vmatrix} = 3$	I. $x = 10$
B. $\begin{vmatrix} x+2 & x+5 \\ 3 & 4 \end{vmatrix} = 13$	II. $x = 60$
C. $\begin{vmatrix} x+4 & x-4 \\ 8 & 7 \end{vmatrix} = 0$	III. $x = 0$
D. $\begin{vmatrix} x+4 & 8 \\ x-4 & 7 \end{vmatrix} = 60$	IV. $x = 20$

Choose the correct answer from the options given below:

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CUET Mathematics Past Year Questions (Topic-Wise)

If $\begin{bmatrix}-2 & 0\\ x & 4\end{bmatrix}+3\begin{bmatrix}y & 0\\ 2 & -1\end{bmatrix}=I$ , where $I$ is $2\times2$ unit matrix, then the value of $x$ and $y$ are: