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For two nonzero real numbers a and b, consider the system of linear equations :
ax + by = b/2
bx + ay = a/2
Which of the following statements is (are) TRUE?
The rank of matrix is
If A is a 3 × 5 matrix, then the rank of transpose of A is at most
Let P be a 4x4 matrix comprising of the following rows:
[1 2 0 2] , [-1 -2 1 1], [1 2 -3 -7], [1 2 -2 -4]
Then rank of P equals
Let a,b,c be real numbers such that both b and c are not equal to 0.
Suppose P = [a b
c 0]
and P^{-1} = P. Then which of the following is true
If A is 3x3 matrix with all real entries, has an eigenvalue i
, then its other two eigenvalues can beLook at the diagram and select all the statements which are correct.