In each case, perform the indicated operation. a. In C*, (7 + 5i)( – 3 + 2i) [7 4] tK b. In GL(2, Z), det 5

Q: Evaluate the given expression. Take A = 0 -1 -2 1 1 and C= AT + 3CT 1833- 1 -1 1 1 -1 -1

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Q: Evaluate each of the following for x = 4, 7, 9, 8 and 3. ∑x2 ∑x2 – 1 ∑(x2−1)

A: We have given that,  The data set :- x = 4, 7, 9, 8, 3

Q: Since u = x³ + 28, then converting back to an expression in x we get the following. 2 + C X

A: we need to write the expression in terms of x.

Q: What is the value of z that makes the following true? 10 2ェ -1 4 I + 3

A: The given equation is 4x+3=102x-1

Q: Use the union rule to answer. If n(A) = 6, n(B) = 11 and n(An B) = 5, what is n(A U B)? n(A U B) =

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Q: Evaluate. 5. 1)? X(X dx 1 5. 2. x(x² 1)2 (Type an exact answer.) I3D

A:

Q: If z=1+/ then the value of the expression 24 -473+7z2 -6z+3 is OA -1- O B. 1- O D.-2- OE -5

A: We have to evaluate the value of the expression.   Given z=1+i

Q: Evaluate the given expression. Take 0 -1 0 1 A = -2 2 AT + 3CT $1 and C= 11 1 1 1 -1 1 1

A:

Q: Let à = 2i +4j - k. Find a.

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Q: If c = (−3, −5) and ♂ = (–2, −6), find |4č – 2.5d|. O √74 O √146 O 7√5 O 8√6

A:

Q: Simplify each expression a. √50 b. √√6xx√3x² * C. d. e. 121 9 √150x² √√3x m

A: Since you have posted withmultiple sub parts. As per guidelines we are supposed to answer only first…

Q: ū = (-2,5) and v = (4, 8), find –3ü+ ū. %3D elect the correct answer below: (2, 13) (7, 13) (2, – 7)…

A: Simplification

Q: Let c- 0 2

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Q: If ả = (–4, −8) and ☎ = (–2, −6), find |2.5ả – 36|. O 20 O 2√5 O-6 O 4√2

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Q: The letter a is a digit (i.e., 0; 1; ; 9). Find all choices of n so that 278n5 is divisible by

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Q: Evaluate the given expression. Take X 3 B-B and C A= 2 AT + 3CT 5 ↓ T -1 -2 ↓ ↑ 1 1 -1 -1

A:

Q: Let ā = (−4, −5, −3) and 6 = (-5, −4, 4) Find a × 6. V >

A:

Q: Find the following expressions if a = (6r, 0, r), b = (6s, –s, 7s), and c = (2t, 10t, 5). a ·b = 1.…

A: We need to find dot product.