The value of vmatrix 1 & a & b+c \\ 1 & b & c+a \\ 1 & c & a+b vmatrix is Option 1: 0 Option 2: (a + b + c) Option 3: (a - b)(b - c)(c - a) Option 4: a^2 + b^2 + c^2

The answer is '0'. View full solution:

CUET Mathematics - The value of vmatrix 1 & a & b+c \\ 1 & b & c+a \\ 1 & c & a+b vmatrix is | PYQs + Solutions

CUET Mathematics 2023 23 May Shift 3

Algebra

Medium

(a + b + c)

(a - b)(b - c)(c - a)

$a^2 + b^2 + c^2$

✅ Correct Option: 1

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If $A = \begin{bmatrix} 1 & 1 \\ 0 & 1 \end{bmatrix}$ , then the value of $A^{20}$ is:

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Identify the correct statements.

(A) If $A$ is a non-singular matrix, then $A^{-1} = \frac{|A|}{(\text{adj } A)}$

(B) If $A$ is an invertible matrix then $\frac{1}{|A^{-1}|} = |A|$

(C) If $A$ and $B$ are two invertible matrices of the same order then $AB$ is also invertible matrix and $(BA)^{-1} = A^{-1}B^{-1}$

(D) If $A$ is an invertible matrix, then $A^T$ is also invertible and $(A^T)^{-1} = \frac{1}{(A^{-1})^T}$

Choose the correct answer from the options given below :

CUET Mathematics 2023 23 May Shift 3 PYQs

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