Find determinants of the following matrices: 1 5 7 -1 3 2 A= 3 2 8...
Find the rank of each of the following matrices: [36 4 87 [18 2 -5 8 11 0] A= 2 7 1 9 B= 7 -4 C= 13 3 0 2 4 2 5 0 6 11 10 0 -6 2 2
1. Evaluate the following determinants: 8 7 3 4 0 2 (a) 4 0 1 (c) 6 0 3 6 03 8 2 3 ab (e) b c с a b 1 1 1 2 3 (b) 4 7 5 3 6 9 4 -2 (d) 8 11 4 х (f) 3 9 5 0 y 2 -18 7
1. Find the Jordan canonical forms of the following matrices 0 0 -1 (c) 7 6-3 (b) 2 3 2 1 0 4 0 1 -3 -10-8-6-4 0 -3 1 2 0-1 0 0 0 (d) 2 2 21-1 2 (e) 0-2-5-3 -2 0 6 85 4 0 -5 3-3 -2-3 4 1. Find the Jordan canonical forms of the following matrices 0 0 -1 (c) 7 6-3 (b) 2 3 2 1 0 4 0 1 -3 -10-8-6-4 0...
find the eigen space of 4a and 4c Find the characteristic equations of the following matrices 4. (a) 「 4 0 1 -2 1 0 -2 0 1 (b) [3 0-5 1 1-2 11 1-2 0 (c) 19 5 -4 (d) -1 0 11 -1 3 0 -4 13 1 (e) 5 0 11 ind bases for the eigenspaces of the matrices in Exercise 4 6. Find the characteristic equations of the following matrices 4. (a) 「 4 0 1...
1 1 Use the fact that matrices A and B are row-equivalent. -2 -5 8 0 -17 3 -51 5 A= -5-9 13 7-67 7-13 5 -3 1 0 1 0 1 0 1 -2 0 B = 3 0 0 0 1-5 0 0 0 0 0 (a) Find the rank and nullity of A. rank nullity (b) Find a basis for the nullspace of A. It (c) Find a basis for the row space of A. lll III...
3) Find the determinants of the given matrices. 1-1 0 31 3 A B= 1 3 3 -2 2 -2 41 C= -F 3 3 0 3 -2 41 2
1. Find the eigenvalues for the following matrices and bases for their corresponding eigenspaces. -28 10 (a) -75 27 -3 -4 6 (b) 8 12-18 4 5 -7 -17 5 5 (c) -40 13 10 -20 5 8
Given the following matrices, find 2A + 3B. 2 14 7 1 - 3 A= [2 - 1 B = 2 -3 For the resulting matrix 2 A+ 3B = (a b d where с a = 11 -12 C= 4 d = -5
Consider the following. 1-4 9 7-14 3 DE 10 5-7 E = 2 -13 2 8 5 0 1 9 Perform the requested operation on the given matrices. (If an answer is undefined, enter UNDEFINED into any cell of the matrix.) 10D -7E 11
Educ Level 1 2 3 4 SC Index 1 8 16 9 2 2 1 12 9 13 3 1 9 7 11 4 4 13 10 10 5 2 13 10 7 6 2 8 12 16 7 1 5 11 4 8 1 4 9 7 9 0 5 3 5 10 0 0 9 5 Calculate the following probability: If a couple is chosen at random its SC Index value is either 5 or 6. A. 70...