12. Prove the following (A+ BB")-B= AB(I+ BT AB)-1 by express the B+BB' AB in two forms. O Type here to search

Q: verify that (AB)C = A(BC)

A: Given matrices:

Q: s9-3x then y If y O 89-3x)4 25 O 819-3x)4 25 O 8(0-3x)4 O -24(9-3x)4 O 24(9-3x)4

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Q: 17. Express 4xi + 5yi + 6xi? + 2yi“ in simplest a + bi form.

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Q: dz f1-42-223)2 3 4[3-2(2+パ) a. In 3+ JE (z+1)/ J3-2(241=+C 3-4,(2+)? 3 b. 4[3-2(2+1=)] C-A(24)?…

A: Given ∫3z(1-4z-2z2)2dz ∫f'xfxdx=lnfx+c

Q: Compute √27 using once False Position method with x₁ = 1 and x = 2. A 1,69 B 1,84 1,93 1,78

A: We have to compute 275 using the method of False position once where xl=1 and xu=2

Q: Complete the following: pv (q^¬ =pv (r^g) by: = (pv¬r) ^ (pv q) by: =(¬rvp) ^ (pv g) by: = (rp) ^…

A: The various laws of logic can be stated as: Commutative Law, Distributive Law, Negation Law,…

Q: 1. Simplify the following expressions: a) (x– 1)(x+ 2) b) (х- 10) - (х — 2) c) 4(x – 1)(x+ 1) + 2(x…

A: topic - simplification

Q: 18. Simplify a) (2w)* + (2w²)-3

A: The given expression is Note that as per the rules, we are supposed to answer the first question and…

Q: 9(x + 6) - 41 = 75 Prove x - 62/9)

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Q: If 7 - 2 1 8. [1 -2 -2 -4 A =|- 2 3 B = -1 -3 , C =| 0 3 and D= 1 - 4 - 7 [2 - 4 | then find (A' –B'…

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Q: S = u(x+*)

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Q: 4.) T(:) = + 2x-] relate to the baseB, = {H(},and B,,

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Q: 9. Assume that the stated inverses exist, prove (A+ B)-1 = A-'(A-1+B-!)-'B-1.

A: Here we prove a equivalent statement.

Q: If In(a) = 2, In(b) = 3, and In(c) = 5, evaluate the following: %3D ) a-1 (a) In -12 b-3c-1 (b) In…

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Q: dx Sx²+ 4 2. 多.区

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Q: n2 1 SHOW ALL OF YOUR WORK. 3. an = 2n +1 2n + 1" (а) Find aj, а2, аз, а4. 3 (b) Compute > a;. i=1 4…

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Q: 1. Expand and simplify. /10K] a) (5m – 8)(3m –- 2) b) (5x – 3)² c) (x + 4)(x – 5) + 3(4x – 5)(x –…

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Q: 106. Prove that (a + bi) = (a² – b) + (2ab)i.

A: Given- a+bi2=a2-b2+i2ab To prove- The above statement. Formula Used- x+y2=x2+y2+2xy and i2=-1

Q: Expand la In 3 Inx Iny? Inz 2n 3+ 2mx+ 2lmy hz a. 2h3+ 2hx+ 2ny- 2hz In 3+ Inx+ 2hy- nz

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Q: 49

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Q: 2 [[t+²2] ² Evaluate Lt+ :

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Q: 6 -1 Let A =| 0 -2 and B . Compute (AB)". Show your work. 4 3

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Q: Find the form of yo to use in the method of undetermined coefficients v+5V tây e + xe a. Ae* + Bxe²x…

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Q: у" — бу" + 11у' — бу — 4sin7х + 5 - %3D -

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Q: 2. Show that if a]b then a'|b² for all integers a and b (Symbols V, 3, A, V, V,A,→,-)

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Q: 6 4 3 5 9 7 10 ^ - :: ³ - 1 - - [H] A = 1 3 C B 6 4 2 0 8 11 5 2 if D=C-A, then the element d13 is:…

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Q: -2/2] 2 3) If A= and B 2 2v21. Show that A and B commutative.

A: The two matrices A and B are said to be commutative if AB=BA. The given matrices are…

Q: Show that (6+c) ba са (c+a) cb =2abc(a+b+c) ab 3 (a+b) ас bc

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Q: Express x8 - x as a product of irreducibles over Z2.

A: Given polynomial is fx=x8-x. To Express: The given polynomial fx=x8-x as a product of irreducible…

Q: 2. Show that if 8=(AB)- then - > N - - (AB)² + (aß)² – (αB)² – (AB)² = [(A) − (α)] [(B) − (ß)] +…

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Q: 1 1 2 [² ( ₁ + ²/2w² - ²/₁²) ₁ 10) 1+ du 0

A: The given integral is .The aim is to find the value of the integral.

Q: 10. Use i = (0, 1) and y = (y, 0) to verify that -(iy) = (-i)y. Thus show that the addi- tive…

A: i=0 ,1y=y ,0 verify :   -iy = -iy  To find additive inverse of z=x+iy