show ans and step 9 For what values of r and s does 0 r 2 2

show ans and step!

9. For what values of r and s does 0 r 2 2 have rank 2? 0 s 1 r 2 (A) 2 and 8 1 (B) 2 and 8 1 (C) r 2 and s 3-1 (D) 1 and s (E) No such values of r and s exist Th

Solution

SInce the matrix already has 2 non zero rows ( first and fourth) which are independent , we look on to the remaining 2nd and 3rd rows.

To have the rank 2, the remaining rows ( 2nd and 3rd) must be altogether 0 in row echelon form and that can never be possible.

Hence No such values of r and s possible.