Multiple choice

Given Matrix [A] =$\begin{bmatrix} \ 4 & 2 & 1 & 3 \ \ 6 & 3 & 4 & 7 \ \ 2 & 1 & 0 & 1 \ \end{bmatrix}$, the rank of the matrix is

  1. 4

  2. 3

  3. 2

  4. 1

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

The rank is the number of linearly independent rows. Row 1: (4, 2, 1, 3). Row 3: (2, 1, 0, 1). Row 2: (6, 3, 4, 7). Row 2 = Row 1 + Row 3 + (0, 0, 3, 3)? No. Row 2 = 1.5 * Row 1 + (0, 0, 2.5, 2.5). Row 3 is independent. Rank is 2.