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CBSE Class 12 Math 2023 Outside Delhi Set 1 Solved Paper

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SECTION - D
This section comprises Long Answer type questions (LA) of 5 marks each.
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Question : 32 of 38
Marks: +1, -0
(a) If A=(−3−2−4212213),B=(120−2−1−20−11)A=\begin{pmatrix} -3 & -2 & -4 \\ 2 & 1 & 2 \\ 2 & 1 & 3 \end{pmatrix}, B=\begin{pmatrix} 1 & 2 & 0 \\ -2 & -1 & -2 \\ 0 & -1 & 1 \end{pmatrix}, then find ABA B and use it to solve the following system of equations :
  x−2y=3\;x-2 y=3
  2x−y−z=2\;2 x-y-z=2
  −2y+z=3\;-2 y+z=3
OR
(b) If f(α)=(cos⁡α−sin⁡α0sin⁡αcos⁡α00)f(\alpha)=\begin{pmatrix} \cos\alpha & -\sin\alpha & 0 \\ \sin\alpha & \cos\alpha & 0 \\ 0 \end{pmatrix}, prove that f(α)⋅f(−β)=f(α−β)f(\alpha) \cdot f(-\beta)=f(\alpha-\beta)
Solution:     👈: Video Solution
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