2 %AY l, li,UU OH.W ch1.pdf->Н.W2 -1-11. If A =C =-2find (a) A + B, (b) A - B,B3(e) 24 - 8C, (а) ЗА + 28- 4С, (е) АВ, () ВА, (0) (АB)С, (К) А(ВC), () АT + вт,O B'AT.21-11 -122 If A =1 -2B =-213show that-2122 -11(A + B)*A + AB + BA + B%3D3. prove that:det (AB) = det (A) det (B)If2 -1B =-3A =/3-221 2 -34. (e) Find the inverse of the matrix A =direct multiplication.and (b) check the answer by1.5. Solve the system of equations3z - 2r + 2z, = 10: + 2- 3s = -14: + a+ 2x, =3.(a) by Cramer's rule and (b) by using inverse matrices.(3z, - 2x + 2z. = 0z, + 21 - 3z = 0.4, + + 2z, = 06. Solveby Cramer's rule7. For what values of k will the system2r + ky + z =0(k- 1)z - y+2 = 04r + y+4z 0have non-trivial solutions?Solving formally by Cramer's ruleII>

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Answered: 1 4 A = find (a) A +B, (b) A-B, -2 (e)…

Math

Calculus

1 4 A = find (a) A +B, (b) A-B, -2 (e) 24 – 3C, (d) SA + 2B - 4C, (e) AB, S BA, G) (AB)C, (A) A(BC), () A + B",

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter2: Systems Of Linear Equations

Section2.4: Applications

Problem 26EQ

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