21 -2] -2 A = B = 1 -2]

Q: Multiply. 5i •6/ 5i • 6i =

A: we know that     i=-1i2=-1

Q: (-1,4, 12) + (3i – 6j – 14k)

A: We get the sum of the vectors as…

Q: Perform the indicated multiplication.  -3i (-7+7i)

A: Given:

Q: 3 has a multiplicative inverse in Z9 Select one: True False

A: In the question it is provided a cyclic group order 9 whose elements are given as:

Q: Give the conjugate of 13 – 10i

A:

Q: Show that B is the inverse of A. -5 3 3 -9 -0 1 6. 3 9. A = -2 1 3 B 3 -3 -12 6 21 0 -6 STEP 1: Find…

A:

Q: a+b Let a * b = 2 What is its identity element?

A: Group theory: Identity element of the group

Q: The complex conjugate of 8 + 9i is ^-8+9i

A:

Q: Find the product of 2 3i and its conjugate. The answer is a + bi where The real number a equals The…

A:

Q: Find ATA and AAT. -1 A = 0-8 (a) ATA (b) AAT Which of the products are symmetric? (Select all that…

A:

Q: Find another representation of (5, π/4) in which, a) r is positive and 2π < θ < 4π. b) r is…

A: r, θ=5, π4⇒r=5  &  θ=π4 The point r, θ can be represented as, r, θ+2nπ, -r, θ+2n+1π    where n…

Q: Find the product: 7i(2 - 9i)

A:

Q: Let z1 = 5 + 3i, z2 = 5 – 3i, and z3 = 4 + 2i. Find the following. (Simplify your answer…

A: Simply add and multiply the given data.

Q: Find the product. 2 i (5 - i)? 2 i (5 - i) (Type your answer in the form a +bi.)

A:

Q: Find the following expressions if a = 3i – 5k, b =i+j-5k, and c = 4i + 9j + 3k. 1. a · b = 2. а : с…

A:

Q: Express z =1/(2+5i) in the form a+ib.

A: Given:

Q: (b) If z1 = 1 - i, z2 = -2+ 4i, z3 = v3 – 2i, then evaluate: |21 + z2 + 1 | 21 – 22 +i

A: Givenz1=1-i z2=-2+4iz3=3-2iTo evaluate|z1+z2+1z1-z2+i|

Q: Each of the multiplication expressions below will have a product that can be written in the form a +…

A:

Q: (a) Calculate AB, Im(B) and (B - A)* where 1+ 2i В 1- 3i -5 A = -3i 4. i -i

A: The given matrices are: A=01+2i-3i4 , B=1-3i-5i-i To Find: AB, Im(B), (B-A)*. As per policy, we are…

Q: m(x)= 14x-1 3 서 2

A: Given : m(x)=4x-132 To find : Find the inverse and prove it by composition.

Q: Determine the conjugate of the product of, (3 – 2i) (4 + 3i)

A: solution:-3-2i4+3i=34+3i-2i4+3i=12+9i-8i-6i2putting i2=-1=12+9i-8i-6-12=12+9i-8i+6=18+i

Q: .

A: Given

Q: 161) = 14 X-1 3

A: Topic:- function

Q: Determine the product of (1+i) and (1-3i)

A:

Q: EVALUATE: IF A = 3i-j-2K FIND: | (A+B) × (A-B)| | (A x B) | & B = 2i + 3; +!

A: We can solve as follows

Q: opartions to find inverse madely use Row 6 1 -22 B = -1 2. -2 6-2

A:

Q: Determine the inverse of A, and show that A-1A = I.

A:

Q: The expression 6xi³(-4xi + 5) is equivalent to (1) 2x – 5i (3) -24x2 + 30x i - (2) -24x² – 30xi (4)…

A: Given that: 1) 6xi3(-4xi+5)2) (2+4i)(3-i)

Q: Find the following products.   (2 + 6i)(2 - 6i)

A: Given:2+6i 2-6i

Q: Let a,b be two real numbers and define a*b=ab+a+b. What is the inverse element for 2? O -2/3 O -2 O…

A:

Q: -3 -1 Find adjoint of A and use it to find the inverse of A 1 -5 -2 Simplify your answer. 3 4.

A:

Q: St 2

A:

Q: ..... Fill in the blank. -7 -9-1 The easiest way to evaluate -5 -5 0is to expand about the elements…

A: Best way to evaluate is expanding along Column 3 because it contains two zeros.

Q: What is the cofunction of the complement of csc 57 o?   a. sec 33o   b. sec 57o   c. csc 57o   d.…

A: Any function of the complement of an angle is the cofunction of the angle.  We know ,  csc90∘-x =…

Q: 1 and B = Find the inverse of both A = 2 [i 2] to determine A' – B-'. 3 4 7 21 3 5 3 6 7 3 3 13 11…

A:

Q: True or False The conjugate of 2 + 5i is - 2 - 5i.

A: The conjugate of 2+5i is -2-5i. The given statement is false.

Q: Bnd The lengi and divection op AxB BXA if+ A=2i, B=-3j. %3D

A: We have to find the length and direction.

Q: Which of the following is the dot product of u = 4i + 6j – 5k and v =-10i – 8j + 10k? -3 60 -138

A: To find the dot product of the given vectors u=4i+6j-5k  &  v=-10i-8j+10k. Note that:…

Q: Perform the indicated operations. A. (5i-2j)+(-3i+2j) B. (i-3j)-(2i+j)

A: A vector has both magnitude and direction. The direction of a vector is indicated by an arrow.…

Q: Calculate the products AB and BA to verify that B is the inverse of A.

A:

Q: Find the products: a. 4i(3 - 5i)    b. (7 - 3i)(-2 - 5i).

A: The given expression is 4i3-5i   4i3-5i=12i-20i2=12i+20        i2=-1=20+12i

Q: 110. Discuss the difference between the products (a + b)(a – b) and (a + bi)(a – bi).

A:

Q: RACTISING 4. Simplify. State any restrictions on the variables. Sab 15ab – 10a²6?

A:

Q: A. Perform the giv 1. ( 4+ iV3 ) (3 – 2i) 2. 4i ( ) (3+3i 3V3-2i 3. 2-iv3 120 5. 3(-

A: Explanation of the solution is given below...

Q: If 8 = (AB)–- (AB), then with usual notation, prove that %3D (i) [(A)- (a)] [(B)- (B)] + 2 N 8 (AB}…

A: ANSWER: For the given data,