If A = [(1 2 2), (2 1 -2), (a 2 b)] is a matrix satisfying the equation AA^T = 9I,

Question 1

If A = [(1 2 2), (2 1 -2), (a 2 b)] is a matrix satisfying the equation AAT = 9I, where I is 3 x 3 identity matrix, then the ordered pair (a, b)is equal to

(a) (2, -1)

(b) (-2, 1)

(c) (2, 1)

(d) (-2, -1)

Question 2

Correct option (d) (-2, -1)

Explanation:

It is given that

If A = [(1 2 2), (2 1 -2), (a 2 b)] is a matrix satisfying the equation AA^T = 9I,

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If A = [(1 2 2), (2 1 -2), (a 2 b)] is a matrix satisfying the equation AA^T = 9I,

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