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Find two non-zero matrices and such that but
MATHEMATICS · Subjective · CBSE · Mathematics · Matrices · Matrices
Problem
Find two non-zero
2
×
2
2\times2
2
×
2
matrices
A
A
A
and
B
B
B
such that
A
B
=
O
AB=O
A
B
=
O
but
B
A
≠
O
BA\ne O
B
A
=
O
, where
O
O
O
is the
2
×
2
2\times2
2
×
2
zero matrix. Verify your result by computing both products.
Related theory
Matrices
Matrix Operations
Multiplication of matrices
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