PYQ Vault

Day 388: NDA Maths

5 questions. Try each one first, then open its answer.

  1. Question 1

    Matrices & Determinants. Asked once: NDA 2 2017

    14
    If AA is a square matrix, then the value of adj AT−(adj A)T\text{adj}\, A^T - (\text{adj}\, A)^T is equal to

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  2. Question 2

    Matrices & Determinants. Asked once: NDA 1 2017

    34
    If ∣xy00xyy0x∣=0\begin{vmatrix}x&y&0\\0&x&y\\y&0&x\end{vmatrix}=0, then which one of the following is correct?

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  3. Question 3

    Matrices & Determinants. Asked once: NDA 1 2017

    38
    If A=(0110)A = \begin{pmatrix}0&1\\1&0\end{pmatrix}, then the value of A4A^4 is

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  4. Question 4

    Matrices & Determinants. Asked once: NDA 1 2017

    33
    What is the value of the determinant ∣11111+xyz1111+xyz∣\begin{vmatrix}1&1&1\\1&1+xyz&1\\1&1&1+xyz\end{vmatrix}?

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  5. Question 5

    Matrices & Determinants. Asked once: NDA 1 2017

    35
    Consider the set AA of all matrices of order 3×33\times3 with entries 0 or 1 only. Let BB be the subset of AA consisting of all matrices whose determinant is 1. Let CC be the subset of AA consisting of all matrices whose determinant is −1-1. Then which one of the following is correct?

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