KCET 2021 | Matrices and Determinants Question 14 | Mathematics

If $$A=\left[\begin{array}{ccc}1 & -2 & 1 \\ 2 & 1 & 3\end{array}\right]$$

$$ B=\left[\begin{array}{ll}2 & 1 \\ 3 & 2 \\ 1 & 1\end{array}\right]$$, then $$(A B)^{\prime}$$ is equal to

$$\left[\begin{array}{cc}-3 & -2 \\ 10 & 7\end{array}\right]$$

$$\left[\begin{array}{cc}-3 & 10 \\ -2 & 7\end{array}\right]$$

$$\left[\begin{array}{ll}-3 & 7 \\ 10 & 2\end{array}\right]$$

$$\left[\begin{array}{cc}-3 & 7 \\ 10 & -2\end{array}\right]$$

KCET 2021

MCQ (Single Correct Answer)

-0

Let $$M$$ be $$2 \times 2$$ symmetric matrix with integer entries, then $$M$$ is invertible if

the first column of $$M$$ is the transpose of second row of $$M$$.

the second row of $$M$$ is the transpose of first column of $$M$$.

$$M$$ is diagonal matrix with non-zero entries in the principal diagonal.

The product of entries in the principal diagonal of $$M$$ is the product of entries in the other diagonal.

KCET 2021

MCQ (Single Correct Answer)

-0

If $$A$$ and $$B$$ are matrices of order 3 and $$|A|=5,|B|=3$$, then $$|3 A B|$$ is

425

405

565

585

KCET 2021

MCQ (Single Correct Answer)

-0

If $$A$$ and $$B$$ are invertible matrices then which of the following is not correct?

$$\operatorname{adj} A=|A| A^{-1}$$

$$\operatorname{det}\left(A^{-1}\right)=[\operatorname{det}(A)]^{-1}$$

$$(A B)^{-1}=B^{-1} A^{-1}$$

$$(A+B)^{-1}=B^{-1}+A^{-1}$$

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