step by step plz Example. For the given matrix below compute both det(A) and det (5.A). 025 A=|1 7 10 01 3
9. Given det(A5x5)-3, find det(A3), det(5A), det(2AT), det(3A-1). 9. Given det(A5x5)-3, find det(A3), det(5A), det(2AT), det(3A-1).
2 -2 7 3 Let C= -2 3 Compute det(C). -1 -1 -3 Submit Answer Tries 0/10
*3.2.29 1011 Compute det B4 where B = 2 2 4 (132 det B4 = (Simplify your answer.)
3. (a) For the following matrix A, compute the characteristic polynomial C(A) = det(A ?): A-1 1 (b) Find all eigenvalues of A, using the following additional information: This miatrix has exactly 2 eigenvalues. We denote these ??,A2, where ?1 < ?2. . Each Xi is an integer, and satisfies-2 < ?? 2. (c) Given an eigenvalue ?? of A, we define the corresponding eigenspace to be the nullspace of A-?,I; note that this consists of all eigenvectors corresponding to...
3. Let det(A) = 3 and det B = –2. Find the indicated determinants: (a) det(AB) (b) det(B-1A) (c) det(AAT) (d) det(3BT)
If A and B are 3 x 3 matricies for which det A = 2, det B =-2 find the following determinants: (all entries below are either integers or proper fractions in lowest terms) det(A)- det(B-44BA) = det(4(A(B-1)) detC4BT)-1) =
1. (10 points) Let A and B be 3 x 3 matrices, with det A = -3 and det B = 2. Compute (a) det AB (6) det B4 (c) det 3B (d) det A"B" AT (e) det B-AB
(1 point) If det b 1 3 and det b 2 e 3 then a 5 det|b 5 el=15 and c 5 f c 8 f (1 point) If det b 1 3 and det b 2 e 3 then a 5 det|b 5 el=15 and c 5 f c 8 f
a. Compute det \(\mathrm{AB}\).det \(\mathrm{AB}=\square\) (Type an integer or a fraction.)b. Compute det \(5 \mathrm{~A}\).det \(5 \mathrm{~A}=\square\) (Type an integer or a fraction.)c. Compute det \(\mathrm{B}^{\top}\).\(\operatorname{det} \mathrm{B}^{\top}=\square\) (Type an integer or a fraction.)d. Compute \(\operatorname{det} A^{-1}\).\(\operatorname{det} \mathrm{A}^{-1}=\square\) (Type an integer or a simplified fraction.)e. Compute det \(\mathrm{A}^{3}\).det \(\mathrm{A}^{3}=\square\) (Type an integer or a fraction.)