The rank of the matrix, A=⎡⎢⎣2314012−10−2−42⎤⎥⎦is
2
3
1
Indeterminate
Given A=⎡⎢⎣2314012−10−2−42⎤⎥⎦,(R2→2R2+R3)
A=⎡⎢⎣231400000−2−42⎤⎥⎦
Since every minor of order 3 in A is 0 and there exists a minor order 3 i.e. [230−2] in A which is non-zero.
Thus, rank = 2.
Express the following matrices as the sum of a symmetric and a skew-symmetric matrices (i)[351−1]
(ii)⎡⎢⎣6−22−23−12−13⎤⎥⎦
(iii)⎡⎢⎣33−1−2−21−4−52⎤⎥⎦
(iv)[15−12]
If A=⎡⎢⎣28−40−1−23−15⎤⎥⎦ Find A+A'
Inverse of thefollowing matrix using elementary Row transformations would be
=∣∣ ∣∣131011361∣∣ ∣∣
If A=[1tan x−tan x1],ATA−1= ___