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

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. 415.0( 3 Votes )

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

Answer :

Given:

To find the value of A² – 4A + 3I₃

I₃ is an identity matrix of size 3, so

Now, we will find the matrix for A², we get

[as c_ij = a_i1b_1j + a_i2b_2j + … + a_inb_nj]

Now, we will find the matrix for 4A, we get

So, Substitute corresponding values from eqn(i) and (ii)in equation A² – 4A + 3I₃, we get

[as r_ij = a_ij + b_ij + c_ij],

Hence the value of

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