Linear Algebra

Final answer only please

Section 2.1 Determinant: Problem 1 (1 point) 2 5 Given the matrix A - 3 find its determinant. -1 The determinant of A isSection 2.1 Determinant: Problem 10 {1 point} Find the determinant of the matrix 1 [I I] 1 [I 1 [I 3 E} [I M": D 2 I] [It 3 II} [I [I 3 1 E} 2 2 II} [I Section 2.1 Determinant: Problem 11 (1 point) Given the matrix CL 3 A = a 5 2 5 a find all values of a that make the A = 0. Enter the values of a as a comma-separated list:Section 2.1 Determinant: Problem 12 {1 point]: Find .1: such that the matrix 3 II] 3 1H: 3 3 [II 8+k 6 E i3 singular. k =| | Section 2.1 Determinant: Problem 13 (1 point) Find the determinant of the n x n matrix A with 4's on the diagonal, 1's above the diagonal, and 0's below the diagonal. det (A) =Section 2.1 Determinant: Problem 2 (1 point) O Given the matrix 0 -4 2 -4 (a) find its determinant; Your answer is : (b) does the matrix have an inverse? Your answer is (input Yes or No) :Section 2.1 Determinant: Problem 3 (1 point) If A = $ then det (A) = and A-1 = 188 1Section 2.1 Determinant: Problem 4 {1 point} Find the determinant Of thE matrix 1 5 B = 4 3 4 4 3 det (B) = |:| Section 2.1 Determinant: Problem 5 (1 point) Determine all minors and cofactors of -4 5 8 A = 6 4 2 5 -5 M11 = All = M 12 = A12 = M13 = A13 = M 21 = A21 M 22 A 22 = M 23 = A23 = M31 = A31 = M 32 = A32 = M33 A33Section 2.1 Determinant: Problem 6 {1 point} A square matrix is called a permutation matrix if each row and each column contains exactly one entry 1: With all other entries being Cl. An example is 001 P2100 010 Find the detelrtinant of this matrix. det [P] =| |. \f\fSection 2.1 Determinant: Problem 9 {1 point} Find the determinant Of thE matrix 2 I] [I 2 M: 1 I] 2 I] t} 2 [I 2 '3 ._.3 3 det [M] = |___|