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10 Nov 2019
How to solve this problem? Thanks!
a 0 0 0 c 0 0 be triangular matrices. b Problem 12. Let A U e f g and B 0 h i 0 0 0 j (1) For what values of the constants a through j is A invertible? Why? (2) For what values of the constants a through j is B invertible? Why?
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Jarrod Robel
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1 Jul 2019
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Use appropriate algorithmic way to justify if A is invertible. Find A^-1 if that exists by using the algorithm. A = [1 0 0 0 2 3 4 0 2 0 2 1 1 2 3 1] Now answer the followings with explanation: (i) Is A^T invertible? If so write it's inverse without any elementary row operation. (ii) Let B and C be any two invertible 4 times 4 matrix. How many solutions does the equation (ABC)^TX = 0 have?
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Use appropriate algorithmic way to justify if A is invertible. Find A^-1 if that exists by using the algorithm. A = [1 0 0 0 2 3 4 0 2 0 2 1 1 2 3 1] Now answer the followings with explanation: (i) Is A^T invertible? If so write it's inverse without any elementary row operation. (ii) Let B and C be any two invertible 4 times 4 matrix. How many solutions does the equation (ABC)^TX = 0 have?
taupemule388
Problem 1g
Compute the determinants of the following matrices. (a) [2 3 -1 2] (b) [6 8 9 12] (c) [a^2 ab ab b^2] (d) [a + 1 a a - 1] (e) [cos theta sin theta - sin theta cos theta] (f) [2 0 1 0 2 3 -3 5 0] (g) [1 4 7 2 5 8 3 6 9] (h) [0 b 0 a c e 0 d 0] (i) [1 b c b c 1 c 1 b] (j) [0 a b a 0 c b c 0]
pls help
Let A be a 4 times 4 matrix and B be obtained from A by adding 5 times the first row to each of the second and third rows, then det (B) = 5^4 det (A) True False (h) A square matrix D is invertible if and only if 1/det(D) exists as a real number True False (i) If a square matrix B is invertible, then its inverse has zero determinant. True False (j) In order to apply Cramer's Rule, the coefficient matrix of a system must be invertible and the determinant of the inverse of the coefficient matrix must be different from 0. True False
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