(a) Use Excel, or any Mathematical software, or any programming language, to compute the determinants of the following matrices. Remember to include screenshot of your work. More marks will be awarded for the use of software other than Excel. 1 1 1 1 [1 1 1 1 1 1° 1 2 2 1 2 2 A = |1 2 B = C = |1 1 2 3 -1 2 3 3 4. 2 3 3 3 2 3 .1 2 3] 1 4 4 -1 2 3 4 5- (b) Use the results in part (a) to guess the determinant of the matrix below. 1 1 11 ... 1 2 2 2 ... 1 2 3 3 ... 11 2 3 n-

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Use Excel, or any Mathematical software, or any programming language, to compute the
determinants of the following matrices. Remember to include screenshot of your work.
More marks will be awarded for the use of software other than Excel.
(a)
1 1 1 1
1 2 2 2 2
2 3
2
1
1 1 1
11
[1 1 1]
A = |1 2
1
B =
2 2
C = |1
2
3 3
1
2 3
3
[1
2
3.
1
3 4 4
2 3
4-
-1
3 4 5-
(b) Use the results in part (a) to guess the determinant of the matrix below.
1 1 1
11
...
1
2 2
...
1 2 3
: : :
L1 2 3
3
...
...
(c) Confirm your guess in part (b) by using row operations to evaluate that determinant.
State the rule that you use to find the determinant of your row echelon form.
Transcribed Image Text:Use Excel, or any Mathematical software, or any programming language, to compute the determinants of the following matrices. Remember to include screenshot of your work. More marks will be awarded for the use of software other than Excel. (a) 1 1 1 1 1 2 2 2 2 2 3 2 1 1 1 1 11 [1 1 1] A = |1 2 1 B = 2 2 C = |1 2 3 3 1 2 3 3 [1 2 3. 1 3 4 4 2 3 4- -1 3 4 5- (b) Use the results in part (a) to guess the determinant of the matrix below. 1 1 1 11 ... 1 2 2 ... 1 2 3 : : : L1 2 3 3 ... ... (c) Confirm your guess in part (b) by using row operations to evaluate that determinant. State the rule that you use to find the determinant of your row echelon form.
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