Level:
Project ID:
2000017413
Accepted:
0
Clonable:
0
Easy:
0
Consider the matrices
\[
A=\left (\array{
1& 0 & 0\cr
-1 & 1 & 1 \cr
2& 1 & 0} \right ),~
B=\left (\array{
-1& 1 & 0\cr
0 & 1 & 1 \cr
1 &1& -1 } \right ).
\]
For which matrix \(X\) holds \(A \cdot B - X= B^2\)?
\(
\left (\array{
-2& 1 & -1\cr
1 & -1& 0\cr
0 & 2& -1 } \right )
\)
\(
\left (\array{
-2& 1 & -1\cr
1 & 1& 0\cr
0 & 2& -1 } \right )
\)
\(
\left (\array{
-2& 1 & 1\cr
1 & -1& 0\cr
0 & 2& -1 } \right )
\)
\(
\left (\array{
2& 1 & -1\cr
1 & -1& 0\cr
0 & 2& -1 } \right )
\)
Fixed Answer:
None