WeBWork Linear Algebra- Section 2.1 Determinants - Section 2.1 Determinant Given the matrix A=-1-3;3,0 find its determinant The determinant of A is 9

WeBWork Linear Algebra- Section 2.1 Determinants - Section...

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Section 2.1 Determinant Given the matrix A=[-1,-3;3,0] find its determinant. The determinant of A is 9 Given the matrix [0,0,0;0,-5,-4;-5,0,-5] (a) find its determinant Your answer is: 0 (b) does the matrix have an inverse? Your answer is: NO If A = [3,6;-8,-4] then det(A)=36 and A^-1=[-0.11,-0.16,,0.22,0.0833] Find the determinant of the matrix B=[-2,-1,1;-4,1,5;-1,-2,1] det(B)=-12 Determine all minors and cofactors of A=[-8,8,4;-1,1,-9;4,-2,5] M11=-13 M12=31 M13=-2 M21=48 M22=-56 M23=-16 M31=-76 M32=76 M33=0 A11=-13 A12=-31 A13=-2 A21=-48 A22=-56 A23=16 A31=—76 A32=-76 A33=0 A square matrix is called a permutation matrix if each row and each column contains exactly one entry 1, with all other entries being 0. An example is P=[0,1,0;0,0,1;1,0,0]. Find the determinant of this matrix.
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Unformatted text preview: det(P)=1 Find the determinant of the matrix A=[-2,0,0,0;3,1,0,0;-2,4,4,0;-5,-1,-3,-3] det(A)=24 If A=[6,-1,-2,5;0,-2,-3,4;0,0,-9,-4;0,0,0,9]. Then det(A)=972 Find the determinant of the matrix M=[3,0,0,-3;1,0,-3,0;0,2,0,-1;0,2,-2,0] det(M)=6 Find the determinant of the matrix M=[-3,0,0,-2,0;3,0,-2,0,0;0,2,0,0,-3;0,0,0,3,3;0,-1,3,0,0] det(M)=-54 A=[a,9,5;a,-4,5;8,1,a], fins all values of A that make the determinant of A=0. Enter the values of a as a comma separated list: (-0-sqrt(27040))/(-13*2), (-0+sqrt(27040))/(-13*2) Find k such that the matrix M=[-4,-1,2;-12,1,10;4+k,3,6] is singular. k=-8 Find the determinant of the n x n matrix A with 9s on the diagonal, 1s above the diagonal and 0s below the diagonal. det(A)=9^n...
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