Ram wishes to purchase a house for ₹… - CUET UG 2025 Mathematics PYQ

CUET UG 2025 — Mathematics Statistics & Applications

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Ram wishes to purchase a house for ₹ 15,00,000 and made a down payment of ₹ 5,00,000. If he can amortize the balance at 9% per annum compounded monthly for 25 years, then his EMI is:

[Given $(1.0075)^{300} ≈ 9.41$ ]

Official previous-year question

Held on 30 May 2025 · Verified 13 Jul 2026.

Options

A
₹ 7,991.80
B
₹ 7,391.80
C
₹ 6713. 57
D
₹ 8,391.80

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Solution

For a singular matrix $A$ , the determinant is zero: $\det(A) = 0$ .

There is a fundamental property relating a matrix to its adjoint:

$A(\text{adj } A) = \det(A) \times I$

where $I$ is the identity matrix.

Since $A$ is singular, $\det(A) = 0$ .

Substituting into the formula:

$A(\text{adj } A) = \det(A) \times I$

$A(\text{adj } A) = 0 \times I$

$A(\text{adj } A) = O$

where $O$ is the null matrix (a matrix with all elements equal to zero).

Therefore, $A(\text{adj } A)$ is a null matrix.

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