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a) The matrix B is a 3 x 3 matrix and det (B) = 3. Give the reduced row echelon form of B. b) Compute the determinant of a a+2 a+4 b+2 6+4 b c c+2 c+4 c) Solve DX = 0 with 4 000 0 -1 2 0 0 0 D = 2 1 5 0 0 6 -3 0 07 10 2 4 0 1 = d) Let A and B be 2 x 2 invertible matrices. Given that det(AB-¹) = 2 and det (2AT AB) det (B). 16, find det(A) and

a) The matrix B is a 3 x 3 matrix and det (B) = 3. Give the reduced row echelon form of B. b) Compute the determinant of a a+2 a+4 b+2 6+4 b c c+2 c+4 c) Solve DX = 0 with 4 000 0 -1 2 0 0 0 D = 2 1 5 0 0 6 -3 0 07 10 2 4 0 1 = d) Let A and B be 2 x 2 invertible matrices. Given that det(AB-¹) = 2 and det (2AT AB) det (B). 16, find det(A) and

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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a) The matrix B is a 3 × 3 matrix and det(B) = 3. Give the reduced row echelon form of B. b) Compute the determinant of a a+2 a + 4 b b+ 2 b +4 c c+2 c+4 c) Solve DX = 0 with 4 00 0 0 -1 20 0 0 D = 2 1 5 0 0 6 07-30 10 2 4 0 d) Let A and B be 2 x 2 invertible matrices. Given that det(AB-¹) = 2 and det (2AT AB) = 16, find det(A) and det (B).
Transcribed Image Text:a) The matrix B is a 3 × 3 matrix and det(B) = 3. Give the reduced row echelon form of B. b) Compute the determinant of a a+2 a + 4 b b+ 2 b +4 c c+2 c+4 c) Solve DX = 0 with 4 00 0 0 -1 20 0 0 D = 2 1 5 0 0 6 07-30 10 2 4 0 d) Let A and B be 2 x 2 invertible matrices. Given that det(AB-¹) = 2 and det (2AT AB) = 16, find det(A) and det (B).
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