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Find z by Cramer’s rule:
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Mathematical Methods in the Physical Sciences
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- 3. Perform the indicated multiplications. a. (4D + 1)(D – 2) b. (2D – 3)(2D + 3) | c. (D – x)(D + x) d. D(xD – 1) - e. (xD + 2)(xD – 1) Show Complete Solution Answers: a. 4D2 – 7D - 2 b. 4D2 – 9 | c. D2 + 1- x². d. xD2 e. X²D2 + 2xD – 2 |arrow_forwardy = -x – 6 - 2x = -3x + 6 4)arrow_forwardLet à = 5j + k and b -2i+j+2k. Find - 3ā – 3b.arrow_forward
- 3. Perform the indicated multiplications. a. (4D + 1)(D – 2) b. (2D – 3)(2D + 3) с. (D — х)(D + х) d. D(xD – 1) e. (xD + 2)(xD – 1) Show Complete Solution Answers: 4D2 – 7D - 2 a. b. 4D2 – 9 D2 + 1- x2. C. d. xD2 e. X2D2 + 2xD - 2arrow_forwardFind ( a x b) x c if Q2. a =i-2j+k, b=i+2j-4k, c=2i – 3j +karrow_forward2) Show that a3 + b³ = (a + b)(a² – ab + b²) is a polynomial identity. %3D |arrow_forward
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