Let A be a 2- 3 matrix- whereas B be a 3- 2 matrix- If det -AB-4- then the value of det -BA is

The correct option is B 4 3×2=AB det.(AB)=4 det.(BA)= det.(AB) #160; #160; Property det(BA)= 4 ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard XII

Physics

Logic Gates

Let A be a ...

Question

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 $\cdot (B A)$ is

- 4

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

2

No worries! We‘ve got your back. Try BYJU‘S free classes today!

- 2

No worries! We‘ve got your back. Try BYJU‘S free classes today!

0

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is B $- 4$
$3 \times 2 = A B$
$d e t . (A B) = 4$
$d e t . (B A) = - d e t . (A B)$ $P r o p e r t y$
$d e t (B A) = - 4$

Suggest Corrections

Similar questions

Q. Let

A

be a

3 \times 3

real matrix. If

det (2 Adj(2 Adj(Adj(2A)))) = 2^{41},

then the value of

det (A^{2})

equals

Q. Let

A

be a

3 \times 3

matrix with

det (A) = 4.

Let

R_{i}

denote the

i^{t h}

row of

A .

If a matrix

B

is obtained by performing the operation

R_{2} \to 2 R_{2} + 5 R_{3}

2 A,

then

det (B)

is equal to:

Q. Let a be the square matrix of order 2 such that

A^{2} - 4 A + 4 I = 0

where I is an identify matrix of order 2. .If

B = A^{5} - 4 A^{4} + 6 A^{3} + 4 A^{2} + A

then Det (B) is equal to

Q. If A is

2 \times 2

matrix,

d e t A = 4

then find the product of

d e t (3 A)

and

d e t (A^{- 1})

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)

Join BYJU'S Learning Program

Let A be a 2×3 matrix, whereas B be a 3×2 matrix. If det⋅(AB)=4, then the value of det⋅(BA) is

The correct option is B −43×2=ABdet.(AB)=4det.(BA)=−det.(AB) Propertydet(BA)=−4

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 $\cdot (B A)$ is

The correct option is B $- 4$
$3 \times 2 = A B$
$d e t . (A B) = 4$
$d e t . (B A) = - d e t . (A B)$ $P r o p e r t y$
$d e t (B A) = - 4$