.Solve the problems for the given matrices. 2 3 6 4 1 5 9 5 0 1 10 2 6 11 7 4 6 12 8 2 10 18 7 8 0 14 3 12 16 19 [A] = 5 0 (a) 1 10 2 7 6 11 6 9 12 1 4 13 7 2 9 3 4 5 7 | 11 3 4 7 19 7 1 8 find det[A] and give two reasons? (Use only the properties of determinants. Do not compute it by using the determinant expansion) (b) A system of linear equations is given as shown below. 2x, +3x, + 2x3 = 18 +2x, +x = 11 +2x, +3x =13 i) Find the second unknown x2 of this system by using the Cramer's rule. ii) Find the xi and x3 of this system by means of matrix inversion. (Remember that [x]=[A][b])

.Solve the problems for the given matrices. 2 3 6 4 1 5 9 5 0 1 10 2 6 11 7 4 6 12 8 2 10 18 7 8 0 14 3 12 16 19 [A] = 5 0 (a) 1 10 2 7 6 11 6 9 12 1 4 13 7 2 9 3 4 5 7 | 11 3 4 7 19 7 1 8 find det[A] and give two reasons? (Use only the properties of determinants. Do not compute it by using the determinant expansion) (b) A system of linear equations is given as shown below. 2x, +3x, + 2x3 = 18 +2x, +x = 11 +2x, +3x =13 i) Find the second unknown x2 of this system by using the Cramer's rule. ii) Find the xi and x3 of this system by means of matrix inversion. (Remember that [x]=[A][b])

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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