1 0 6. Prove that AABE-AACD. 2 30 B 6 E 20 D

Q: -1 31 -1 1,D 31 2 1 Let A = -1 -1 3 В 3 1 -2 1

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Q: |1 0 A=[2 21 1 13 31 |A|=4 O |A|=1 O |Al=21 O |A|=0 O 900

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Q: 2 If A = 3 2 3 4 B = 2] 2 3 3 and C = -1 then (BCT)T – CBT – A= - Select one: [ 10 O A. 10 1 O B.…

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Q: [2 3 2. Given A = 30 2 B = C= -2]. Verify that (AB)C = A(BC) %3D

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Q: 16) If v = 9i + 3j, what is || 8v ||?

A: Recall: If v→ =v1i +v2j then , v→ =v12+v22

Q: 30. What is the real part of -? 1+j2 а. 0.75 b. -0.9 c. 0.5 d. 0.4

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Q: Prove that: n² + 3n 1 →> 2n² + 1 2 You may use any results from lectures, but you must state them…

A: (.) Given,                We find the limit.

Q: If a, b e Z such that a b then the numbers a and b are called relatively prime numbers if gcd(a, b)…

A: Consider the given statement. We'll prove the statement by contradiction. Let's the numbers are not…

Q: [2 1] 4 and B := [o 3 Let A := 3 Find: (a) AB (b) BA

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Q: Let A= 1 1 Then, ||A||2= -2 Select one: а. 8+45 2 b. 7+/45 C. 10 +45 2 d. 9+45 2.

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Q: 3 [1 Q 4- Find A-1 for A =1 li 3 5 12]

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Q: N(a + bi)N(c + di) = N[(a + bi)(c+ di)] = 2. Show that 65 can be expressed as a sum of two squares…

A: See the detailed solution below.

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

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Q: Let a = 5i – 2j and b = 2i + j – 7k then what is a. b =? O a. 12 O b. 8 O c. 1 O d. -8 O e. -12

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

A: Evaluate (AB)T as follows.…

Q: 1 2 3 4 , Q10- If 8 9 7 6 5 1-find Det.? 2- (1/Det.)(A) 4 5

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Q: -1 31 -1 1,D = 3] 1.0 -6 -1 3 Let A = 3 B = C = 3 1 -2 1

A: Topic:- subtraction of matrix

Q: [4 12 25] If A = 1 4 7 1 3 6 Then A-1 || PARTY

A: Given: The matrix A=41225147136 To find: A-1 of matrix A Formula Used: For a matrix…

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: Let A = (23¹) and B=(2) What is AB?

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Q: Prove that gcd(a + b, a − b) = ged(2a, a − b) = ged(a + b, 2b).

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

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Q: 9. If a + b = 2a - 3b + 4ab, find the values of 5 * 2 and 3*. 5 10. If a o b = a + 2b and a + b = b²…

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Q: -1 -4] [7 111 5 ,B = |2 [4 -8 Find AB, given A -1 7. 3

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Q: [-1 2 Q5/ Let A = |-2 5 -3] 3 4 ,then the C33 is 0 1 -1 -10 -2

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Q: 8 0-4 [1-4] and B= 0 5-2 5-8 Find AB and BA given A = Find AB. AB=

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Q: 1 1 1 1 be a . If A,= a a b c C,A, =1 ca b then: 1 ab c (a) A, +A, =0 (b) A, +2A, =0 (c) A, = A, (d)…

A: It is given that ;     Δ1 = 111abca2b2c2       and    Δ2 = 1bca1cab1abc We have to find the relation…

Q: 1 2 2 If A 2 2 1 A? – 4A- 51 = Q, =|2 1 2, then prove that

A: Introduction :

Q: -10 -4 3 6 Qs: A- Given A = L -4 and B = -8. 2 -14 -28 Prove that: - AB+BA = -7 14

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Q: Find x and y 24 -2 22 [2x-2y 2 -2 20 21 o -10: [4 : 25 24y 25 2x+y -4

A: Given:

Q: 2 4 -8 Let A = and B = |. If AB = [ab 1, then which of the following is the value of ab? 10 A. 8…

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Q: (1 2 43) 32 1. IF A = THEN (A) (B) (X Y) Z W

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Q: 2 Let A = 1 (a11 + a22) A 2 Show by explicit calculation that A² and (a11a22-a12a21)I are equal.

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Q: 3+4i30 -2+i 2-i 5

A: To prove the equation 3+4i302-i=-2+i5 to prove it start from the left hand side and deduce the right…

Q: Q.31 If a+b+c=5 and ab+bc+ ca=10, then prove that a +b³ +c³ – 3abc=-25 Q.32 Prove that :

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Q: C. 9626 [2 If A = 2 1] 3 find A? -5 A+61 -1 0 1 [1 Select one: [2 3 51 a. 1 2 4 [7 6. 2] b. none 1…

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Q: 4 نقاط * find each of a,& b 3 – i 2 – 2i - If a + ib = then 2+ 3i 1- 5i

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Q: 9. A + B 11. AB C 3 9-1 [a [a 13 | + | ²₁ 6 T2₁₁ 9-1 3 412 2 L-

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Q: 13D 43. If a > 1 and b < 0, then 1-101 (A) (B) 1 9 (a) (D) b(a+1) (E)

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Q: 142 If A = -4 4 30 Then 4A + B = -4 -3 and B and B = 2 4 00 3 3 -2 1 1 1

A: NOTE: Refresh your page if you can't see any equations. . here we have .

Q: 6 4 3 5 9 7 10 ^ - :: ³ - 1 - - [H] A = 1 3 C B 6 4 2 0 8 11 5 2 if D=C-A, then the element d13 is:…

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Q: For Exercises 20–25, perform the indicated operations on the following vectors: ā - 27 +k, i --37 +…

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