CUET Mathematics - If A is a square matrix such that A^2=A and I is identity matrix of same order, then (2I+A)^3-19A is equal to: | PYQs + Solutions

CUET Mathematics 2026 22nd May Shift 1

Algebra

Medium

core

$8I$

$A$

$O$

✅ Correct Option: 1

Related questions:

17 Aug Shift 2

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 $(A^T)^{-1} = \frac{1}{(A^{-1})^T}$

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19th May Shift 1

Let A (1, 3), B (0, 0) and C (k, 0) be three points such that area of $\Delta(ABC) = 3$ sq. units, then the value of k is:

19th May Shift 2

Match the LIST-I with LIST-II

	LIST-I Characteristic of square matrix		LIST-II Type of matrix
A.	A is a square matrix such that $A + A^T = 0$ .	I.	Identity matrix or scalar matrix
B.	B is a square matrix such that $B^2 = B$	II.	Diagonal matrix
C.	C is a square matrix with all equal diagonal element and all the non-diagonal elements are zero.	III.	Skew symmetric matrix
D.	D is a matrix such that all the non-diagonal elements are zero.	IV.	Idempotent matrix

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CUET Mathematics 2026 22nd May Shift 1 PYQs