where every entry on the diagonal of the matrix in the last line is 11, and every entry below the diagonal is 0, even those entries not shown. What are the values of a, b, c and d above? Enter your values as exact values or simple algebraic expressions (in correct Maple syntax), possibly in terms of n. a= b = C= d=
where every entry on the diagonal of the matrix in the last line is 11, and every entry below the diagonal is 0, even those entries not shown. What are the values of a, b, c and d above? Enter your values as exact values or simple algebraic expressions (in correct Maple syntax), possibly in terms of n. a= b = C= d=
Chapter7: Systems Of Equations And Inequalities
Section7.8: Solving Systems With Cramer's Rule
Problem 3SE: Explain what it means in terms of an inverse for a matrix to have a 0 determinant.
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Transcribed Image Text:Consider the n. x n matrix U given by
0
0
11
44
...
11(4)-3
308(4)n-2
88
308 1232 4928
...
11
44 176 704
...
U =
11(4)n-1
11(4)-4
0
0
0
11
...
:
:
E
:
:
0 0
0
0
...
11
The determinant of this matrix is obtained by applying standard row operations one at a time. In particular, it is found
that
0
...
0 11
1232
176 704
44
4928
88 308
...
11(4)-3
308(4)n-2
11(4)-1
11(4)-4
11
44
...
det (U) =
0
0
0
11
...
8
E
:
:
18
0
0
0
0
...
=a
11
88
0
0
44
176
704
308
308 1232 4928
0
11
44
0
0
11
...
...
...
...
11
11(4)n-1
308(4)n-2
11(4)-3
11(4)-4
Transcribed Image Text:1:
0
= ab
⠀
0 0
176
704
...
-308
-308-1232
...
11
44
...
0
11
...
6
0
0
...
704
....
11(4)n-1
11(4)-2
176
...
11 44
MOD
= abc
11(4)-3
11(4)-4
= abcd,
10
11
...
8
18
:
0 0 0
0
11
...
where every entry on the diagonal of the matrix in the last line is 11, and every entry below the diagonal is 0, even
those entries not shown. What are the values of a, b, c and d above? Enter your values as exact values or simple
algebraic expressions (in correct Maple syntax), possibly in terms of n.
a=
b=
团购,
C=
皮码
d =
6
0
11
44
-22 -77
0
0
:
0
44 176
11 44
0
NOO...OOOO....
HOO... O
11
8
11
...
11(4)n-1
-77(4)2-2
11(4)n-3
11(4)-4
:
11
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