1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45

RD Sharma - Volume 1

5. Algebra of Matrices

Exercise 5.1

1 2 A 2 B 3 4 A 4 B 4 C 4 D 5 A 5 B 5 C 5 D 5 E 5 F 5 G 6 A 6 B 6 C 6 D 6 E 7 A 7 B 7 C 8 9 10 11 12 13 14 15 16 17 A 17 B 17 C 18 19 20 21

Exercise 5.2

1 A 1 B 2 A 3 4 5 6 7 8 9 10 11 12 13 14 15 A 15 B 15 C 16 17 18 A 18 B 19 A 19 B 20 21 22

Exercise 5.3

1 A 1 B 1 C 2 A 2 B 2 C 3 A 3 B 3 C 3 D 4 A 4 B 5 A 5 B 5 C 6 7 8 9 10 11 12 13 14 15 16 A 16 B 17 A 17 B 18 19 20 21 22 23 24 A 24 B 25 26 27 28 29 30 31 22 33 34 35 36 37 38 39 40 A 40 B 40 C 40 D 41 42 43 44 45 46 47 48 A 48 B 48 C 48 D 48 E 48 F 49 50 51 52 53 54 A 54 B 55 56 57 58 59 60 61 62 63 64 65 A 65 B 65 C 65 D 66 67 68 69 70 71 72 73 74 75 76 77 78 79

Exercise 5.4

1 A 1 B 1 C 1 D 2 3 A 3 B 3 C 4 5 6 A 6 B 7 8 9 10

Exercise 5.5

1 2 3 4 5 6 7 8

Very short answer

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68

MCQ

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45

Q. 235.0( 1 Vote )

If A = [a_{ij< A. A is a skew-symmetric matrix and |A| = 0

B. A is symmetric matrix and |A| is a square

C. A is symmetric matrix and |A| = 0

D. none of these}

Class 12th RD Sharma - Volume 1 5. Algebra of Matrices

Answer :

a_ij = i² – j²

a11 = 12 – 12 = 0

a12 = 12 – 22 = -3

a21 = 22 – 12 = 3

a22 = 22 – 22 = 0

So, A^T = -A

|A| = 0(0) – (-3)(3) = 0 + 9 = 9 ≠ 0

So, none of these.

Option (D) is the answer.

Rate this question :

How useful is this solution?

We strive to provide quality solutions. Please rate us to serve you better.

PREVIOUSIf A is 3 × 4 mat NEXTIf <img wid

Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts

Dedicated counsellor for each student

24X7 Doubt Resolution

Daily Report Card

Detailed Performance Evaluation

caricature

view all courses

RELATED QUESTIONS :

<span lang="EN-USMathematics - Exemplar

<span lang="EN-USMathematics - Exemplar

<span lang="EN-USMathematics - Exemplar

Given <img Mathematics - Exemplar

<span lang="EN-USMathematics - Exemplar

<span lang="EN-USMathematics - Exemplar

<span lang="EN-USMathematics - Exemplar

For the followingMathematics - Board Papers

<span lang="EN-USMathematics - Exemplar

Use <span lang="EMathematics - Board Papers