If: (1+i)75 (1-1)72 = a + bi, find a + b.

Q: Show that B is the multiplicative inverse of A, where:

A: Two matrices, A and B are said to be multiplicative inverses of each other if AB and BA both results…

Q: PWrite the following numbers in a + bi form: -1- 3i (a) 5 – i + i, | 4 -5 + (b) + i, 2i 4i (c)…

A: a Given expression is −1−3i5−i. We have to write the given expression in a+bi form. Rationalize the…

Q: 10 a.) Completely simplify E ()2* i=0 b.) Expand (1 – r)® and simplify. c.) Expand (r +r-1)5 and…

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Q: Let B = [-1 1 4 -3] Find -4B

A: Solution

Q: (-7– 9i) + (10 + 10¿)

A: To simplify the given two complex number, add real part of first one with real part of second  and…

Q: Write the following numbers in a + bi form: () (а) —3 + i, (b) (-2 + 5i) – (1+ 5i) i, (c) + i, +

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Q: (i) y"-10y'+9y=5t, y(0)=-1, y'(0)=2

A: As you asked more than one question I solved the first one.

Q: (-11 – 6i) + (5 – 8i)

A: From the given problem:   -11-6i+5-8i   From the concept of the grouping of real and imaginary part:…

Q: Suppose Zı= 4+4i , Z2= 5 +7i. Evaluate (a) 2 Z1– 4 Z2 Z2 (b) 3 Z1

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Q: given 7(x-1)=2(3x+2) prove x=11

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Q: Express the following in the form a + bi, where a and b are real numbers: 60i-11

A: Introduction: Like a real number, the square roots of a complex number can also be determined. A…

Q: Find the inverse of AB if 22 A and B-1 (AB)−¹ = = 5 3 2 -3 1 2 00

A: Recall: AB-1=B-1A-1

Q: If find |A| = A = -1-20 [4+4i-1-21] 3-i

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Q: Q1- If z₁ =3+2i, and z2 = 1-2i. Fined the real part and imaginary part of the 2z2-z₁+5-i following…

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Q: Perform the indicated operations and simplify x2-16 x-4 a) x+3 5x2-45

A: Given : x2 - 16x + 3 ÷ x - 45x2 - 45

Q: |Write the following numbers in a + bi form: -2 – 5i (a) -1+ 2i + i, -1 -5 + 3i (b) i, 5i (c) (–5i)³…

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Q: Find the inverse of AB if A-1 and -3 2 1 3 B-1 = -3 4 02 (AB)-1= [88]

A: Given: To Find: To determine .

Q: Simplify the expression to a + bi form: (1+ 7i) + (4 – 10i) -

A: The given expression is 1+7i+4-10i.

Q: Solve for x, algebraically: a) 4(2x) - 6 = 122 (+4=31 b) 3) +

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Q: [5 A = Let -3 -4 1 C = B = and 2] simplify AB+AC

A: Use the property of Matrix addition and multiplication to get this.

Q: Simplify and express in a + bi form: (12 + 3i) – (3 – i) 2.

A: 2. We need to simplify the following complex number expression 12+3i - 3-i