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Mathematics
Mathematics
Problem
Given the matrices
A
=
[
1
2
2
4
]
,
B
=
[
2
−
1
−
1
0.5
]
A = \begin{bmatrix} 1 & 2 \\ 2 & 4 \end{bmatrix},\; B = \begin{bmatrix} 2 & -1 \\ -1 & 0.5 \end{bmatrix}
A
=
[
1
2
2
4
]
,
B
=
[
2
−
1
−
1
0.5
]
, perform the following calculations: a. (i) Compute the product
A
B
AB
A
B
. b. (ii) State whether
A
A
A
and
B
B
B
are zero matrices.
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