Let -A-2-2 and -B-3-3 be the two matrices such that A-2 and B-3- Then the value of A- B-B- A is

Name: JEE- Grade 12- Mathematics- Matrices and Determinants- Session 05- W12
Uploaded: 2022-07-04T10:36:42+05:30
Description: Given: (A)=2 and (B)=3. ((A)· B)+((B)· A) =(2· B)+(3· A) =2^3·(B)+3^2·(A) =8· 3+9· 2=24+18 =42 ...

Given: (A)=2 and (B)=3. ((A)· B)+((B)· A) =(2· B)+(3· A) =2^3·(B)+3^2·(A) =8· 3+9· 2=24+18 =42 ...

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Byju's Answer

Standard XII

Mathematics

Determinant

Let [A]2×2 an...

Question

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

42

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Solution

The correct option is A $42$
Given:
$det (A) = 2$ and $det (B) = 3.$
$det (det (A) \cdot B) + det (det (B) \cdot A)$
$= det (2 \cdot B) + det (3 \cdot A)$
$= 2^{3} \cdot det (B) + 3^{2} \cdot det (A)$
$= 8 \cdot 3 + 9 \cdot 2 = 24 + 18$
$= 42$

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Determinant

Standard XII Mathematics

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Let [A]2×2 and [B]3×3 be the two matrices such that det(A)=2 and det(B)=3. Then the value of det(det(A)⋅B)+det(det(B)⋅A) is

The correct option is A 42Given: det(A)=2 and det(B)=3. det(det(A)⋅B)+det(det(B)⋅A) =det(2⋅B)+det(3⋅A) =23⋅det(B)+32⋅det(A) =8⋅3+9⋅2=24+18 =42

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

The correct option is A $42$
Given:
$det (A) = 2$ and $det (B) = 3.$
$det (det (A) \cdot B) + det (det (B) \cdot A)$
$= det (2 \cdot B) + det (3 \cdot A)$
$= 2^{3} \cdot det (B) + 3^{2} \cdot det (A)$
$= 8 \cdot 3 + 9 \cdot 2 = 24 + 18$
$= 42$