find the Rank of the
matrix
91 92 93 94 95
92 93 94 95 96
93 94 95 96 97
94 95 96 97 98
95 96 97 98 99
Answers
Answer:
I cannot know about it sorry I try next time
The rank of the given matrix is 2.
To find the rank of the given matrix, we need to transform it to row echelon form. Here are the step-by-step row operations that we can perform to do this:
- Subtract 92 times the first row from the second row:
91 92 93 94 95
0 1 2 3 4
93 94 95 96 97
94 95 96 97 98
95 96 97 98 99
- Subtract 93 times the first row from the third row:
91 92 93 94 95
0 1 2 3 4
0 0 0 0 0
94 95 96 97 98
95 96 97 98 99
- Subtract 94 times the first row from the fourth row:
91 92 93 94 95
0 1 2 3 4
0 0 0 0 0
0 1 2 3 4
95 96 97 98 99
- Subtract 95 times the first row from the fifth row:
91 92 93 94 95
0 1 2 3 4
0 0 0 0 0
0 1 2 3 4
0 1 2 3 4
Finally
91 92 93 94 95
0 1 2 3 4
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
Since there are only two non-zero rows in this row echelon form, the rank of the matrix is 2.
Therefore,Since there are only two non-zero rows in this row echelon form, the rank of the matrix is 2.
Therefore, the rank of the given matrix is 2.
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