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Questions › JNU › JNU SIS 2013 › Q6
4 marks, −1Mathematics › Vector spaces, rank and eigenvalues › Linear maps, rank and projectionsEasyabout 1 min

JNU SIS 2013 Question 6: Vector spaces, rank and eigenvalues

The rank of the matrix C=A′B′C = A'B'C=A′B′, where

A=(312110213) and B=(010423)A = \begin{pmatrix} 3 & 1 & 2 \\ 1 & 1 & 0 \\ 2 & 1 & 3 \end{pmatrix} \text{ and } B = \begin{pmatrix} 0 & 1 & 0 \\ 4 & 2 & 3 \end{pmatrix}A=​312​111​203​​ and B=(04​12​03​)

is

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The rank of the matrix C = A′B′, where A = [3 1 2; 1 1 0; 2 1 3] and B = [0 1 0; 4 2 3] is (A) 0 (B) 1 (C) 2 (D) 3

Also written as: The rank of the matrix C = A'B', where A = [3 1 2; 1 1 0; 2 1 3] and B = [0 1 0; 4 2 3] is

Vector spaces, rank and eigenvalues has come up 41 times in 6 exams since 2008.

What this question tests

This question is on Linear maps, rank and projections, part of Vector spaces, rank and eigenvalues in Mathematics.

Linear transformations, their range and rank, and projection operators.

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