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GATE CE 2021: Engineering Mathematics Quiz 2 (App update required to attempt this test)
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Question 1
Find the trace of a matrix [A] of 3 × 3 if [A]T = –[A] _______.
Question 2
Find Minor of element “3” for given matrix [A] ________.
Question 3
Let I be a 100-dimensional identity matrix and E be the set of its distinct (no value appears more than once in E) real eigenvalues. The number of elements in E is _________.
Question 4
P is an orthogonal matrix and A is a periodic matrix with period 4 and Q=PAPT. If PT Q2003P is equal to Aa, then the value of ‘a’ is _________.
Question 5
The Rank of the matrix A is:
Question 6
Consider the following statements:
1) The vector X1, X2……, Xm of same order n such that K1X1+ K2X2 + _ _ _ _ + KmXm = 0 for ∀ K1 = K2 = _ _ _ _ = Km = 0, are linearly independent.
2) Two collinear are linearly dependent.
3) Any set containing zero vector is always linearly independent.
Which of the following statements is/are correct?
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Apr 12ESE & GATE CE