Allied & ICAR Exam Bank • ALLIED_2632 NAT • 1 Mark

Section 1: Engineering Mathematics

Linear Algebra

Subtopic: Solutions of linear equations

Question Statement:

The rank of the matrix $A = \begin{bmatrix} 1 & 2 & 3 \\ 2 & 4 & 6 \\ -1 & -2 & -3 \end{bmatrix}$ is:

Answer Key:

1

Step-by-Step Solution & Explanation

Row 2 is $2 R_1$ and Row 3 is $-R_1$. There is only one linearly independent row, so rank is $1$.
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