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CBSE Class 12 Math 2022 Term I Solved Paper

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Question : 20 of 50
Marks: +1, -0
For two matrices P=(34−1201)P=\begin{pmatrix} 3 & 4 \\ -1 & 2 \\ 0 & 1 \end{pmatrix} and QT=(−121123)Q^T=\begin{pmatrix} -1 & 2 & 1 \\ 1 & 2 & 3 \end{pmatrix} boP−boQ\text{bo} P - \text{bo} Q is
Here,
Q=(QT)T=(−112213)Q = (Q^T)^T = \begin{pmatrix} -1 & 1 \\ 2 & 2 \\ 1 & 3 \end{pmatrix}
Now,
P−Q  =(34−1201)−(−112213)P - Q \; = \begin{pmatrix} 3 & 4 \\ -1 & 2 \\ 0 & 1 \end{pmatrix} - \begin{pmatrix} -1 & 1 \\ 2 & 2 \\ 1 & 3 \end{pmatrix}
  =(43−30−1−2)\; = \begin{pmatrix} 4 & 3 \\ -3 & 0 \\ -1 & -2 \end{pmatrix}
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