For two matrices P=\left[\begin{array}{cc}3 & 4 \ -1 & 2 \ 0 & 1]\end{array} and Q^T=\left[\begin{array}{ccc}-1 & 2 & 1 \ 1 & 2 & 3]\end{array} \bo {P}-\bo {Q} is

Correct Answer is : [43−30−1−2]

\left[\begin{array}{cc}2 & 3 \ -3 & 0 \ 0 & -3]\end{array}

\left[\begin{array}{cc}4 & 3 \ -3 & 0 \ -1 & -2]\end{array}

\left[\begin{array}{cc}4 & 3 \ -0 & -3 \ -1 & -2]\end{array}

\left[\begin{array}{cc}2 & 3 \ 0 & -3 \ 0 & -3]\end{array}

CBSE Class 12 Math 2022 Term I Solved Paper - Question 20

Question : 20 of 50

Marks: +1, -0

For two matrices

P={[\table 3 , 4 ; -1 , 2 ; 0 , 1]}

and

Q^T={[\table -1 , 2 , 1 ; 1 , 2 , 3]}

\bo {P}-\bo {Q}

Solution:

Here,

Q= (Q^T) ^T={[\table -1 , 1 ; 2 , 2 ; 1 , 3 ]}

Now,

P-Q\;={[\table 3 , 4 ; -1 , 2 ; 0 , 1 ]}-{[\table -1 , 1 ; 2 , 2 ; 1 , 3 ]}

\;={[\table 4 , 3 ; -3 , 0 ; -1 , -2 ]}

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