2 3 5 QIB) prove A.A1=I if A- 4 16 1 4 0

Q: 03). Evaluate the following (Answer One only). 1 2 1 2 6. 1 A) If A=| 6 4 -1 and B= | 8 -2 Fin 3 5…

A: Solve matrix

Q: 6. Evaluate f z z* –8 dz. A) (x² - 8) +C B) a O b O d

A:

Q: 4. Find the product AB, where a) A= 0 -1 -1 --1.B= -3 2 - 2 -1 03 -1 -3 -2 0 b) A=1 0 -1 B = 2 4 -1…

A: AB=1010-1-1-11001-11-10-101     =-11001-11-11 (b)AB=1-3012221-11-123-103-1-3-202…

Q: Let c, a, B be nonzero real numbers such that c + B. Find a given that 22n-3 12 00 ac? cn 4 Türkçe:…

A:

Q: If [1 2 3 A = 3 -1 3] -1 0 2 23 1 of Find 2A - B stion Select one: a. none O b. -153 -5 6 0] O C.…

A: Solve the matrix

Q: ST. As in pid. and find the mata'z 3D 3 B such that A- BBT,

A:

Q: I. Find A + B, where a) A = 1 0 41 b) A = 1-1 2 2 1 L 0-2-3 J -1 0561 L -4 -3 5-2 J [-13 3 5 1 2 2…

A:

Q: Construct a proof that ZEIF = ZGIH. н

A:

Q: A semicircular trough has length 10 ft and ends of radius 1 ft, as depicted below. The trough is…

A:

Q: Find the devivative of f cx) = by Hhe de filzifion.

A: Here we differentiate the given function by it's definition.

Q: [1 0 2] 6. If A= 2 -1 3 and B = 3 4 1 8 4 8 -7 9, then prove that (AB) = B" A". -5 0 2 %3D 2.

A: Given:             A=1022-13418 and  B=2483-79-502…

Q: 8. Let a, b and c be any positive real numbers. Prove that b² + c² a²+b² 2c a² + c² + 2b 2a > a+b+c.

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Q: Find the argument of 1+i ал with integer a,b b write your answer as a/b for Arg (1+i) =-

A: We have to find the argument of 1+i in the form of arg(1+i)=aπb with integer a, b.

Q: 17 3. Evaluate: de (r- 1)(2 + 16)

A:

Q: (a+b)(a+ba)(ao³ + bw) = a' +b*

A: The question is wrong. Ask your guide for correction.

Q: Compute det B4 where B = det B4 = 102 2 14 2 3 1 (Simplify your answer.)

A: Given: The matrix .To find .Concepts used:To find the determinant of a square matrix, pick any row…

Q: If n/(a – b) and lcm(2b, 2n) = 2, then gcd(2a, 2n) = %3D %3D

A: We have to find the gcd of the two numbers   gcd= greatest common divisor the two numbers are 2a…

Q: Let C= (replace the third column with the second column C2 C.). Show that |Cl=-IAl (Home work) lumn…

A: As two questions are given , I will do only the first one : C=13211-1243…

Q: 1) What is the sum of 8y 1- 2y? and -3y2 + 2y + 7?

A:

Q: iken that I+2=1 xpressyin terms of xand z.

A: A function defines a relationship between two sets, where one set is dependent on other set. Any…

Q: 9. Which of the following is one of the possible answers when you integrate the expression 2csc² x?…

A:

Q: If a1, az, az,.-ans. be the A.P. and S, = a-1m+1+a-1m+2+a-1n+3 +.--+ am %3D Prove that :…

A: In this question we have to proof S1, S2, S3,.... are in Arithmetic Progression.

Q: For n 2 3, the series 2+4+6+..+ 4(n) can be equivalent to .. ...... OA. n? +3 B. n +1 C. 3n2 + 4 OD.…

A: 3.  2+4+6+...+4n is equivalent to the option (A).

Q: 5 4 0 0 ( 1 1 5. Solve; a) 3 b) 0 0 0 1 2 1 - -2 0 0 0 4 5 5

A:

Q: Show that A × B ≠ B × A, when A and B are nonempty, unless A = B

A:

Q: A6 - B= | verify that AB not equal BA?

A: first we will find AB by rule of product of matrix then we will find BA then compare both matrix

Q: 1. If x=27-3k and y = 7+57-4k, express each of the following in terms of i, j, k a) 5x-2y

A:

Q: 4s + 32 L-1 (s² – 16). wwww.

A: Given that  (4s+32)/(s^2-16) To determine the inverse Laplace

Q: Q7) Calculate AC. BC and (A + B)C. Also, verify that (A + B)C=AC + BC 0 6 7 [0 1 1] If A = -6 0 8,B=…

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Q: -1 -2 -3 -4- 1 2 Let A = 1 1-

A:

Q: leoinov o and 7o iqeng od dw nislqont-( do (0) d o on tud pouso mbrore XE G Such that X? -3X -4=03…

A:

Q: Prove that A-B=An(-B) = (-B) – (-A) = −[(-A) U B]. Also, give three expressions for An B and AU B,…

A: Difference of sets: Given two sets A and B, the difference A−B is defined as the set of all elements…

Q: Let a, b, c be integers. Prove that if a|b and a|c, then a|(b +c).

A: Suppose a|b and a|c. Then there are integers m and n such thatb = am and c = an.Then b + c = am + an…

Q: 10.10) What is the least common denominator of (1 Point) 3 and 1 ? 3x3 6r2 9x O A.9x B. 18x O C.27x…

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Q: с. In(х + 2) +Inx —D In(x + 12)

A:

Q: 13. 15-16) Which of the following expressions is equal to (2 Points) (4y + 1)(16y2 – 4y + 1)? -

A:

Q: Prove that if ACB, then A-B=0.

A: This question can be solved using the concept of set theory.