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1) If A = 35 and B = (³5) (64) -4 0 -2 Find:- a) BA b) | A| = = c) Adjoint B d) A-¹

1) If A = 35 and B = (³5) (64) -4 0 -2 Find:- a) BA b) | A| = = c) Adjoint B d) A-¹

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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1) If A = Find:- a) BA 35) -4 and B = b) | A| = = 2) a) Using matrix method solve the following simultaneous equations 1x + 4y = 9 2x-3y = 7 Find:- a) Find the determinant of the following matrix ( c) If told that the determinant of A = -30 find the possible value(s) for X 4x 2x 6 (24) -2 A = i) f(-3) = 4. Given the functions c) Adjoint B d) A-¹ X 4 iv) hof(x) 3) Given that f(x) = 3x - 5 g(x) = 2x-6 4 ii) g[f(0)] = 2 -1 -6 04 2 8 -2 and h(x) = x + 4 2x h(x) = 3x - 6 2x - 4 5. Two numbers when multiplied equals 42. v) h¹ (1) = find h*¹(x) iii) f[h(2)] = If one number is x and the other number one less than x a) Represent the information given in equation form b) Express as a quadratic equation c) Solve the quadratic equation to find possible values for x d) If told that the two number are positive numbers, what are the values of the two original numbers? 6. Solve the following quadratic equations (hint use the quadratic formula) a) 5x² + 22x+8=0 b) 8x² + 2x - 15 = 0 7. Find the equation of the line joining the points (3, -6) and (-5, 6). 8. Find the equation of the line passing through the point (-7,3) and perpendicular to the line 4y = 9-3x
Transcribed Image Text:1) If A = Find:- a) BA 35) -4 and B = b) | A| = = 2) a) Using matrix method solve the following simultaneous equations 1x + 4y = 9 2x-3y = 7 Find:- a) Find the determinant of the following matrix ( c) If told that the determinant of A = -30 find the possible value(s) for X 4x 2x 6 (24) -2 A = i) f(-3) = 4. Given the functions c) Adjoint B d) A-¹ X 4 iv) hof(x) 3) Given that f(x) = 3x - 5 g(x) = 2x-6 4 ii) g[f(0)] = 2 -1 -6 04 2 8 -2 and h(x) = x + 4 2x h(x) = 3x - 6 2x - 4 5. Two numbers when multiplied equals 42. v) h¹ (1) = find h*¹(x) iii) f[h(2)] = If one number is x and the other number one less than x a) Represent the information given in equation form b) Express as a quadratic equation c) Solve the quadratic equation to find possible values for x d) If told that the two number are positive numbers, what are the values of the two original numbers? 6. Solve the following quadratic equations (hint use the quadratic formula) a) 5x² + 22x+8=0 b) 8x² + 2x - 15 = 0 7. Find the equation of the line joining the points (3, -6) and (-5, 6). 8. Find the equation of the line passing through the point (-7,3) and perpendicular to the line 4y = 9-3x
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