Let the matrix A and B be defined as A - 3 2 2 1 and B - 3 1 7 3 then the value of Det- 2A9B-1- is

The correct option is C 2 [ Given that,; A=| [ 3 amp; 2; 2 amp; 1 ]| ...

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Byju's Answer

Standard XII

Mathematics

Definition of a Determinant

Let the matri...

Question

Let the matrix A and B be defined as $A = ∣ ∣ ∣ \begin{matrix} 3 & 2 2 & 1 \end{matrix} ∣ ∣ ∣$ and $B = ∣ ∣ ∣ \begin{matrix} 3 & 1 7 & 3 \end{matrix} ∣ ∣ ∣$ then the value of Det. $(2 A^{9} B^{- 1})$ , is

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Solution

The correct option is C -2
$\begin{matrix} G i v e n t h a t, A = ∣ ∣ ∣ \begin{matrix} 3 & 2 2 & 1 \end{matrix} ∣ ∣ ∣ B = ∣ ∣ ∣ \begin{matrix} 3 & 1 7 & 3 \end{matrix} ∣ ∣ ∣ | A | = - 1 | B | = 2 ∣ ∣ 2 A^{9} B^{- 1} ∣ ∣ = \frac{4}{| B |} \times {| A |}^{9} = - 2 O p t i o n D i s c o r r e c t a n s w e r . \end{matrix}$

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Similar questions

Q. Let the matrix A and B be defined as

A = [\begin{matrix} 3 & 2 2 & 1 \end{matrix}]

and

B = [\begin{matrix} 3 & 1 7 & 3 \end{matrix}]

then the value of Det.

(2 A^{9} B^{- 1})

, is

Let the matrix $A$ and $B$ be defined as $A = [\begin{matrix} 3 & 2 2 & 1 \end{matrix}]$ and $B = [\begin{matrix} 3 & 1 7 & 3 \end{matrix}]$ then find the value of Det $(2 A^{9} B^{- 1})$

Q. Let

A

be a matrix of order

3 \times 3

such that

∣ ∣ \to A ∣ ∣ = 1

. Let

B = 2 A^{- 1}

and

C = \frac{a d j . A}{2}

. Then the value of

∣ ∣ {A B}^{2} C^{3} ∣ ∣

, is ( where

| A |

represent det.

A

)

Q. Let A be a

2 \times 3

matrix, whereas B be a

3 \times 2

matrix. If det

\cdot (A B) = 4

, then the value of det

\cdot (B A)

Q. Let

[A]_{2 \times 2}

and

[B]_{3 \times 3}

be the two matrices such that

det (A) = 2

and

det (B) = 3.

Then the value of

det (det (A) \cdot B) + det (det (B) \cdot A)

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Let the matrix A and B be defined as A=∣∣∣3221∣∣∣ and B=∣∣∣3173∣∣∣ then the value of Det.(2A9B−1), is

The correct option is C -2Giventhat,A=∣∣∣3221∣∣∣B=∣∣∣3173∣∣∣|A|=−1|B|=2∣∣2A9B−1∣∣=4|B|×|A|9=−2OptionDiscorrectanswer.

Let the matrix A and B be defined as $A = ∣ ∣ ∣ \begin{matrix} 3 & 2 2 & 1 \end{matrix} ∣ ∣ ∣$ and $B = ∣ ∣ ∣ \begin{matrix} 3 & 1 7 & 3 \end{matrix} ∣ ∣ ∣$ then the value of Det. $(2 A^{9} B^{- 1})$ , is