What is the rank of the matrix A? 1 3 0 0 2 4 1 5 4 1 1 - 4
Answers
Answered by
0
Answer:
Step-by-step explanation:
Correct option is A)
Given A=
⎣
⎢
⎢
⎡
2
0
0
3
1
−2
1
2
−4
4
−1
2
⎦
⎥
⎥
⎤
Rank of A ≤min 3,4
So, rank of A≤3
Now, we will reduce it to Echelon form
R
3
→R
3
+2R
2
⎣
⎢
⎢
⎡
2
0
0
3
1
0
1
2
0
4
−1
0
⎦
⎥
⎥
⎤
Here, row R
3
has all elements 0.
So, two non-zero rows.
Hence, rank =2
Similar questions