Q1) Aaswer the following (50 Marks) (a) Determine the inverse of the matris: - A-(5 3 b) Find the Transpose of a matrir - A- A- I3 2 4

Q: Find (a) ∣AT∣, (b) ∣A2∣, (c) ∣AAT∣, (d) ∣2A∣, and (e) ∣A−1∣.

A:

Q: Find (a) ∣AT∣, (b) ∣A2∣, (c) ∣AAT∣, (d) ∣2A∣, and (e) ∣A−1∣.

A:

Q: Simplify: 3(5 – 7) + V16 + 12 ÷ (-3).

A: We have to simplify the expression: 35-72+16+12÷-3 Simplifying the given expression,…

Q: Simplify the expression: 2(7 – 6z) = %3D Submit

A: 2(7-6z)

Q: Simplify: (a³)2 6 a a5 2a6 O 2a5

A: Given  (a^3)2

Q: A-(BNC) is equal to O (A-B)U(A-C) O (A-B)N(A-C) O A-B-C O (A-B)nc

A:

Q: 12. Solve for x using DCMAD. r= 5

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Simplify: x6.y2.z3 3) x4.y4.z2 4) — (х3)0

A: Given that: 3. x6.y2.z3x4.y4.z24.-(x3)0

Q: Multiply: а. (х + 3)(х — 3) b. (5х + 7у)(5х (Sab? – 4a)(5ab² + 4a). с.

A:

Q: Simplify: 11

A:

Q: Could You also Answer (D) to (F)

A: As per the question we are given a multivariate function f(x,y,z,w) which has a critical point at…

Q: Use compositions to show that f(x)=7^(x) and g(x)=log_(7)x are inverses of each other.

A: Two functions f & g are inverses to each other by composition is (f∘g)(x)=x and (g∘f)(x)=x Here…

Q: Find (a) ∣AT∣, (b) ∣A2∣, (c) ∣AAT∣, (d) ∣2A∣, and (e) ∣A−1∣.

A:

Q: (a)  Convert the following general expressions to standard SOP form:                           ABC…

A: given general expression is                                              ABC+(A+B)(B+C+AB)

Q: Find each product: a) 5-7 b) 5(-7) c) (-5)7 d) (-5)(-7)

A: To find the product of the following: The product of two numbers is get by multiplying them together…

Q: 2dx 12. Evaluate: 2. (x2+2x+4) A. -0.847 B. -0.952 C. -0.732 D. -0.628

A: We will evaluate the given integral as shown below by using various integration formulas

Q: Determine L-1 (-1(1+81) S³ 1 (a) =—=t+2₁² (b)t+4t² (c) t+8t² 1 (c) t+8t²

A:

Q: Evaluate: / (8t – 9t² + 7)dt

A:

Q: Simplify the following using power rule: (22*)* O 82 16 O 1678 O 828 O 16716

A: By using (a.b)n = (a)n .(b)n.  and (ab)c = (a)b.c.

Q: Evaluate: a 2(b) – ² where a 24, b = -3, and c 1

A:

Q: Find (a) ∣AT∣, (b) ∣A2∣, (c) ∣AAT∣, (d) ∣2A∣, and (e) ∣A−1∣.

A: Given

Q: - 12z15 + 6z11– 12z6 - Simplify the expression completely: 3z3 Check Answer

A: Solution:Given  -12x15+6x11-12x63x3To simplify the expressionFormula:a+bc=ac+bcxmxn=xm-n

Q: Simplify: Aa- 2x +4) - (– 4x² – 6æ + 7) + (5z² + 6x + 3) Submit Question

A:

Q: using wndex notation, &how that B.

A:

Q: Multiply: (V5 + V6)2 (Va - Vĩ) (Va + V7). (Võ + V5) (V6 - V5) а. b. C.

A: To multiply the given expression. (a). To evaluate 5+62. Solution: We know that a+b2=a2+b2+2ab.…

Q: Find (a) ∣A∣ and (b) ∣A−1∣.

A: a).  Determinant of matrix A is

Q: Vx² +16 Use a trig substitution to evaluate

A:

Q: Find (a) ∣AT∣, (b) ∣A2∣, (c) ∣AAT∣, (d) ∣2A∣, and (e) ∣A−1∣.

A:

Q: Q: Evaluate the fallowing +00 os 3 X x²+2x+3 -00

A:

Q: Simplify: 4a? (а? + 5а-1)

A: We multiply 4a2 to the each element inside the bracket a2+5a-1.

Q: (9) Simplify: a. (-8)² – (10 – 13)² (-2). C.

A: We need to simplify the given equation.

Q: х2+5х-14 х+2 2. Multiply and simplify: х2—4 х2—х-56

A:

Q: Simplify: [12 - (13 – 17)] - [9 – (6 – 10)].

A: Given that the expression is 12 - 13-17-9-6-10 To simplify the given expression

Q: Simplify the expression: 4 (3z*y*)* . 2(z³)® 4,3

A: We have to simplify the given expression.