Chương 1
HỆ PHƯƠNG TRÌNH TUYẾN TÍNH
Bài tập 1.1 Đưa các ma trận sau về dang bậc thang:
A\=
1−3 2
3−4 1
2−5 3
B\=
256
125
132
C\=
−4 1 −6
1 2 −5
6 3 −4
D\=
1 2 −3 0
2 4 −2 2
3 6 −4 3
E\=
2−2 2 1
−3 6 0 −1
1−7 10 2
Bài tập 1.2 Đưa các ma trận sau về dang bậc thang rút gọn:
A\=
2 2 −1 6 4
4 4 1 10 13
6 6 0 20 19
B\=
2 3 −2 5 1
3−1 2 0 4
4−5 6 −5 7
C\=
1−2 3 1 2
1 1 4 −1 3
2 5 9 −2 8
D\=
1 3 −1 2
0 11 −5 3
2−5 3 1
4 1 1 5
E\=
1 2 −1 2 1
2 4 1 −2 3
3 6 2 −6 5
F\=
0 1 3 −2
0 4 −1 3
0 0 1 1
0 5 −3 4
Bài tập 1.3 Xác định hạng của ma trận sau:
A\=
3 5 7
1 2 3
1 3 5
B\=
113
214
125
C\=
1 1 −3
−1 0 2
−3 5 0
D\=
1 2 3 4
2 4 6 8
36912
E\=
4 3 2 2
0 2 1 1
0 0 3 3
F\=
1 2 3 6
2 3 1 6
3 1 2 6
G\=
1−1 5 −1
21 1 −2 3
3−1 8 1
1 3 −9 7
H\=
1 3 −2−1
2 5 −2 1
1 1 6 13
−2−6 8 10
Bài tập 1.4 Xác định sự tồn tại nghiệm của mỗi hệ sau:
1
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