Question

Can the determinant of a 2 x 2 matrix be zero

Answer 1

Answer:yes                                              

explanation: It’s given that the determinant of the 2x2 matrix is zero. This means that the rows of the matrix are not linearly independent. i.e one row can be made zero by some transformation. R2 - (a)R1 = 0 for some real number a. If we make R2 zero, the rank can not be 2.