ADDITION AND SUBTRACTION OF MATRICES . EXERCISE 3.2 ( CLASS XII )

ADDITION AND SUBTRACTION OF MATRICES . EXERCISE 3.2 ( CLASS XII )
EXERCISE 3.2

1. Let A = [[2, 4], [3, 2]] B = [[1, 3], [- 2, 5]] C = [[- 2, 5], [3, 4]]

Find each of following:

(i) A+B

(ii) A-B

(iii)
2. Compute the following:

(n) [[a ^ 2 + b ^ 7, b ^ 7 + c ^ 2], [a ^ 2 + c ^ 2, a ^ 2 + b ^ 2]] +[ matrix 2abc\\ -2ac&-2ab matrix ]

(Ⅲ) [[- 1, 4, - 6], [8, 5, 16], [2, 8, 5]] + [[12, 7, 6], [8, 0, 5], [3, 2, 4]]

(iv) [[cos^2 x, sin^2 x], [sin^2 x, cos^2 x]] + [[sin^2 x, cos^2 x], [cos^2 x, sin^2 x]]

4. If Lambda = [[1, 2, - 3], [5, 0, 2], [1, - 1, 1]] B = [[3, - 1, 2], [4, 2, 5], [2, 0, 3]] dC = [[4, 1, 2], [0, 3, 2], [1, - 2, 3]] then compute (A+B) and (BC). Also, verify that A+ (B-C)= (A+B)-C.

1 Lambda = det [[1/3, 2/3, 4/3], [7/3, 2, 2/3]] 5. If WB = [[2/5, 3/5, 1], [1/5, 2/5, 4/5], [7/6, 2/5, 0]] then compute 3A-5B.

6. Simplify cos0 cos sin 0 -sin cos + sino sin 0 -cos0 cos sin

7. Find X and Y, if

3blished

X + Y = [[7, 0], [2, 5]] * an * dX - Y = [[3, 0], [0, 3]]

(ii) 2X + 3Y = [[2, 3], [4, 0]] * and * 3X + 2Y = [[2, - 2], [- 1, 5]]

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