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Mathematics
Mathematics
Problem
Let
A
=
[
1
2
0
1
]
A = \begin{bmatrix} 1 & 2 \\ 0 & 1 \end{bmatrix}
A
=
[
1
0
2
1
]
and
B
=
I
+
adj
(
A
)
+
(
adj
A
)
2
+
⋯
+
(
adj
A
)
10
B = I + \text{adj}(A) + (\text{adj } A)^2 + \dots + (\text{adj } A)^{10}
B
=
I
+
adj
(
A
)
+
(
adj
A
)
2
+
⋯
+
(
adj
A
)
10
. Then, the sum of all the elements of the matrix B is:
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