Matrix operations Questions

Chapter: Matrices and Determinants | Total Available: 19 Real Questions

Question 1 of 10 Authentic UPSC NDA Question

Consider the following in respect of the

matrices:

(1) CA = CB

(2) AC = BC

(3) C(A + B) = CA + CB

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Question 2 of 10 Authentic UPSC NDA Question

where I is the identity matrix.

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Question 3 of 10 Authentic UPSC NDA Question

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Question 4 of 10 Authentic UPSC NDA Question

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Question 5 of 10 Authentic UPSC NDA Question

Consider the following in respect of non- singular matrices A and B:

I. (AB) ^{- 1}= A^–1B^–1

II. (BA)(AB)^–1 = I, where I is the identity matrix

III. (AB)^T = A^T B^T

How many of the above are correct?

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Question 6 of 10 Authentic UPSC NDA Question

If A = where x, y and z are integers is an orthogonal matrix, then what is A² equal to?

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Question 7 of 10 Authentic UPSC NDA Question

If A =then what is A² – 4A equal to?

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Question 8 of 10 Authentic UPSC NDA Question

If f(q) = then what is (f(p))² equal to?

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Question 9 of 10 Authentic UPSC NDA Question

Direction: Consider the following for the two items that
follow: What is A(adj A) equal to?

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Question 10 of 10 Authentic UPSC NDA Question

Consider the following in respect of the matrices (I) PQ is null matrix.

(II) QP is an identity matrix of order 3.

(III) PQ = QP.

Which of the above is/are correct?

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