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题目
线性代数
题库 #8418
基础
选择题
基础
矩阵运算
题目
#8418
设
A
=
(
a
i
j
)
3
×
3
,
B
=
(
a
21
a
22
+
a
23
a
23
a
31
a
32
+
a
33
a
33
a
11
a
12
+
a
13
a
13
)
,
P
=
(
0
1
0
0
0
1
1
0
0
)
,
Q
=
(
1
0
0
0
1
0
0
1
1
)
A = {\left({a}_{ij}\right) }_{3 \times 3},B = \left(\begin{array}{lll} {a}_{21} & {a}_{22} + {a}_{23} & {a}_{23} \\ {a}_{31} & {a}_{32} + {a}_{33} & {a}_{33} \\ {a}_{11} & {a}_{12} + {a}_{13} & {a}_{13} \end{array}\right),P = \left(\begin{array}{lll} 0 & 1 & 0 \\ 0 & 0 & 1 \\ 1 & 0 & 0 \end{array}\right),Q = \left(\begin{array}{lll} 1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 1 & 1 \end{array}\right)
A
=
(
a
ij
)
3
×
3
,
B
=
a
21
a
31
a
11
a
22
+
a
23
a
32
+
a
33
a
12
+
a
13
a
23
a
33
a
13
,
P
=
0
0
1
1
0
0
0
1
0
,
Q
=
1
0
0
0
1
1
0
0
1
,则
B
=
B =
B
=
‾
\underline{\qquad}
.
A.
A
Q
P
{AQP}
A
QP
B.
P
A
Q
PAQ
P
A
Q
C.
Q
A
P
{QAP}
Q
A
P
D.
A
P
Q
APQ
A
P
Q
解析
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