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Worksheet 4.5.1 Worksheet
1.
2.
3.
4.
5.
6.
Exercise Group.
Find the determinant of each matrix.
7.
\(A=\lmatrix{rrr} 3 \amp 0 \amp 0\\ 0 \amp -2 \amp 0 \\ 0 \amp 0 \amp 2 \rmatrix\)
8.
\(B=\lmatrix{rrr} -2 \amp 3 \amp 1\\ 0 \amp 6 \amp 0 \\ 0 \amp 0 \amp -5\rmatrix\)
9.
\(C=\lmatrix{rrr} 8 \amp 1 \amp 18\\ 0 \amp 0 \amp 29 \\ 0 \amp 0 \amp 2 \rmatrix\)
Exercise Group.
Use the method of elimination as described in
Remark 4.4.16 to find the determinant of the following matrices.
10.
\(A=\lmatrix{rr} -1 \amp 2 \\ 3\amp 4\rmatrix\)
11.
\(A=\lmatrix{rr} 0 \amp -5 \\ 7 \amp 0\rmatrix\)
12.
\(A=\lmatrix{rrr} 0 \amp -2 \amp 0\\ 1 \amp 0 \amp 0 \\ 0 \amp 0 \amp -3 \rmatrix\)
13.
\(A=\lmatrix{rrr} 2 \amp -1 \amp 5\\ 0 \amp 0 \amp 4 \\ 6 \amp 1 \amp 3 \rmatrix\)
14.
\(A=\lmatrix{rrrr} -2 \amp 0 \amp 0 \amp 0\\ 0 \amp 0 \amp 0 \amp -2\\ 0 \amp 0 \amp 1 \amp 0\\ 0 \amp -1 \amp 0 \amp 0\rmatrix\)
15.
\(A=\lmatrix{rrrr} 2 \amp 1 \amp -3 \amp 6\\ 4 \amp 2 \amp 4 \amp 2\\ -2 \amp 1 \amp 0 \amp 6\\ 12 \amp 4 \amp -10 \amp 1\rmatrix\)
