Electrical Engineering > GATE 2019 > Linear Algebra
Consider a 2×2 matrix M = [ v1 v2 ], where v1 and v2 are the column vectors. Suppose , where u1T and u2T are the row vectors.
Consider the following statements:
Statement 1: u1Tv1 = 1 and u2Tv2 = 1
Statement 2: u1Tv2 = 0 and u2Tv1 = 0
Which of the following options is correct?
A
Statement 1 is true and statement 2 is false
B
Statement 2 is true and statement 1 is false
C
Both the statements are true
D
Both the statements are false

Correct : c

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matrix multiplication 2x2 matrix column vectors row vectors GATE Electrical Engineering 2019 matrix multiplication properties electrical engineering gate matrix equality GATE 2019 questions

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