[1 1 1 If A = 1 1 3"-1 3"-1 3"-1 prove that A" =| 3"-1 %3D 1 1 3"-1 for 1 3"-1 all values of n e N. 3"-1 3"-1 3n-1

Q: [1 2] If A = then show that |2A|=4|A| %3D 4 2

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Q: -2 1 A = -3 2 5 -1 3 Then adj(A) = -11 -9 -3 6 -5 -10 1 None -11 3 -5 -9 6 -10 -3 2 11 -3 5 9. -6 10…

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Q: 4 A. Given M= 0 1 5 i. iii. MN 0 4 and N= -5 3 Det (M) 6 0/ MT-2N (T means transpose) 3 5 -4 5 -2.…

A: According to bartleby guidelines we supposed to do the first three sub parts of multiple sub parts…

Q: Solve for x 4 x + 4 х — 2 ||

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Q: s(-1)n-1 In(4n + 5) 7 = 1

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Q: Match each direction field with its differential equation.

A: Given the differential equation is                                            dydt=-1.

Q: If In(x + 3) = 3, then x O 3e3 0 e3-3 03e-3 00

A: Given, ln (x + 3) = 3

Q: 6 1 9 then (2A" + B")" is given by 3. -1 0 and B = 2 1 3. Let A = -1 0 5/2 1/2 0 (A) 15/2 9 1/2 (5/2…

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Q: of 2 + [y] 8+ {2 ²³ = 12; n 3+2=13°54 and {n} + y + 2-472 y + [2] = 14.7 then find

A: Given: x + [y] + {z} = 12 [x] + {y} + z = 13.54 {x} + y + [z] = 14.7 We need to calculate the value…

Q: 8z - 10 = zp (2# – 1) (x + 1) -4 In 12x-1| + 6 In Ix+1| +C -2 In 12x-11 + 6 In Ix+1| + C c) 3 In…

A: Let I=∫8x-102x-1x+1dx. Take the partial fraction of 8x-102x-1x+1. 8x-102x-1x+1=A2x-1+Bx+1

Q: 4x. 2x 4xy + 6x is equal to Зу O True O False

A: Take the LCM of denominators

Q: 1 If z = 2 V3 -i, then find ()*

A: Given complex number is: z=-1-3i2 Find the conjugate of complex number: z¯=-1+3i2 Find z¯4?

Q: 40 10000 41 9900 42 9700 43 9400 44 9000 45 8500

A: Given:

Q: B = By using the result of det(A) (A) Find the value of det(B) (B) without use the def (det) if 3 4…

A: According to question,Given MatrixA = 123456101

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

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Q: 1 2 2 4 Let A = 2 1 1 5 ], What is A'? 2 4 2

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Q: (2 – 1) (n – k)!Ta(n – k) = n! n! i! i=n-k+1 (2 – 1)' n! n! • (2 – 1)* +교A(1) = n - + n! 2 = i!

A: The complete solutions are given below

Q: If then is equal to Select one: O 10 O none of them O-5 -10 [²f(u)d O-15 f(u)du = 5 and 5 15 […

A: We have to evaluate the integral.

Q: - 1 Find ²¹ dz x² +C

A: As we know that, The Sum rule: ∫fx±gxdx=∫fxdx±∫gxdx The Power rule: ∫xndx=xn+1n+1+C ; n≠-1 And use…

Q: In A, values of k for which det(A)=D0 are * k-4 0 0. A = k 3'k-1 O k=4, k=-3 , k=-2 O k=-4, k=-3,…

A: The given matrix is - A = k-4000k203k-1 We have to find the value of k for which the det(A) is equal…

Q: Prove that TIN) F(a – p) O< Re

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Q: -2 1 A = -3 %3D -1 3 Then adj(A) = %3D -11 -9 -3 3 6. -5 -10 1 11 -3 5 9. -6 10 3 -2 -1 -11 3 -5 -9…

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Q: a la and |A2 4

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Q: A = A-¹ = 3 1 0 11 4 0 0 0 1-4 0 0 0 0 50 3 -11 0000 0000 0000 1000

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Q: 1 -1 1 1 -1 1 4 2 3 Suppose A=1 1 0,B =|1 1 0,C=0 -1 5,and AXB = C ,find X 2 1 1 3 1 2 1 1 2.

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Q: - 31 0 -6 4 T3 1 0 07 - Let A 0 -1 -7 B 4 8 -4 0 - – . 4 1 -4 3 - |AB| = |BC| = II

A: Hi, thank you for the question. Since you have posted multiple questions as per our policy we will…

Q: If A = then det (A) 100 01 0 k 01 =

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Q: IF B = By using the result of det(A) (A) Find the value of det(B) (B) without use the def (det) if…

A: Let's find determinant of given matrix.

Q: -3 -2 10 0 -8 4 -8 8 10 -5 -9 -5 -6 4 7 -5 -4 2 3 [G] 3 -8 -6 1 -2 [B : 10 -3 1 4 8 3 9 4 9 1 -10 2…

A: In this question we have to solve the given operation on matrix.

Q: Evaluate 23x e* dx O (2e)x + C In2e (8e)* In8e + C (2 e)X In2e + C (8e)X + C In8e

A: Firstly, converting the product of the two terms into a single term.

Q: (c) Let A = 1 2 10 Find a formula for A", for n = 1, 2, .... :

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Q: 1 2 If A= , then show that |2A|=4|A|| 4 2

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Q: (i) in n(n+ 1) r = r=1 (ii) n(n+ 1) (2n + 1) 6. r=1 (iii) in 2. n(n+1)]2 3

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Q: a=(1 2 3 4 5); sign(a)=1 a=(1 5 3); sign(a)=-1 Ⓒa=(15); sign(a)=-1 a=(1 5); sign(a)=1 a=(1 5 3);…

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Q: A = 1² = 3² -5 A. x = 1; x = 3 C. x = 1; x = -3 x+4], find all values of x for which the det(A) = 0.…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 3 1 If A = show that A²- 5A + 7I = 0. %3D -1 2

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Q: The number e can be defined by e= (1/n!), where n!=n(n-1)-2-1 for n 0 and 0!= 1. Compute the…

A: For the solution of the problem follow the next steps.

Q: x+4 7. S (x-1)(x+3) dx = a. In|x – 1| +-In|x + 3| + C 4 4 b. In|x – 1| -In|x + 3| + C 4

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