PYQ Vault
EbooksTutor

A given 3x3 matrix with one unknown entry is adj A and |A| is given: find the unknown

The same question, asked 3 times: 10 May 2024 S1*, 10 May 2024 S2*, 11 May 2024 S1. Every wording below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    10 May 2024 S1

    130
    B=(1α2122233)\begin{pmatrix}1&\alpha&2\\1&2&2\\2&3&3\end{pmatrix} is adjoint of 3×33\times 3 matrix A, ∣A∣=5|A|=5. Value of α\alpha is

    Tap an option to check your answer.

  2. Question 2

    10 May 2024 S2

    117
    If B=(3a−1131−113)B=\begin{pmatrix}3&a&-1\\1&3&1\\-1&1&3\end{pmatrix} is the adjoint of a 3×33\times3 matrix AA and ∣A∣=4|A|=4, then aa is equal to

    Tap an option to check your answer.

  3. Question 3

    11 May 2024 S1

    127
    If P=(1α3133244)P = \begin{pmatrix}1&\alpha&3\\1&3&3\\2&4&4\end{pmatrix} is the adjoint of a 3×33\times3 matrix A and ∣A∣=4|A|=4, then value of α\alpha is

    Tap an option to check your answer.