PYQ Vault

Inverse of a quadratic expression in a 2x2 matrix, like (A^2 - 5A)^-1

The same question, asked 2 times: 11 May 2023 S2*, 9 May 2024 S1. Every wording below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    11 May 2023 S2

    141
    If A=(2174)A = \begin{pmatrix}2 & 1\\7 & 4\end{pmatrix} then (A2−5A)−1(A^2-5A)^{-1} is

    Tap an option to check your answer.

  2. Question 2

    9 May 2024 S1

    123
    If A=[2−1−13]A = \begin{bmatrix} 2 & -1 \\ -1 & 3 \end{bmatrix}, then the inverse of (2A2+5A)\left(2A^2 + 5A\right) is

    Tap an option to check your answer.