If three n X n matrices A, B and C satisfy AB – BA = C, then ABA is: О АВ—С О 2?В+ ВС О АВ -СА O A? B+ AC O BA? + CA O A? B

Q: If n(A ∩ C) = 140 and n(A ∩ B ∩ C) = 95 what is n(A ∩ BC ∩ C)?

A: We have  n(A ∩ C) = 140 and n(A ∩ B ∩ C) = 95.  For, calculating n(A ∩ BC ∩ C), let us assume A ∩ C…

Q: 11. If an+1 = 2an + 3 and ao = 1, then a7 = O 513 O 509 O 487 496

A: We will find a7.

Q: 6. Find AB – C given: [-15 25 A =| 41 32 45 B =|-24 -371 52 -48 -31] 21 [-100 25 -89 -28 34 -2 -98]…

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Q: 2. Let, a, = 3, az = 4 and for n2 3, a, = 2a,-1 + an-2 + 5, express a, in terms of n.

A: Introduction: The disparities between every two successive terms in an arithmetic progression (AP)…

Q: 3. Let, a, = 3, a2 = 4 and for n2 3, a, = 2an-1+ an-2 + nº+ 1, express a, in terms of n.

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Q: Given A = -1 0 22]₁ compute 3A

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Q: If m ∠ D R C = ( 5 x + 42 ) ∘ and m ∠ C R A = ( 2 x + 75 ) ∘, then x =____?

A: Given,         ∠DRC=5x+42° and ∠CRA=2x+75°

Q: 2) Find AB and BA if : A = [1 2 3], 405 B = 0 -6 -7 8 9 10 -11 6] 7 -8.

A: For matrix multiplication , the number of columns in the first matrix must be equal to the number of…

Q: Prove the following statement: [a 0 0 If A = 0 b 0 ,a + 0, b + 0, c + 0, 0 |.a + 0, b + 0, c + 0,…

A: To prove: If A=a000b000c, a≠0, b≠0, c≠0, then A-1=1a0001b0001c.

Q: In(x+V +a?) +C

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Q: A - B2 {3} and {2} CB implies that {2, 3} CA U B. Select one: O True False

A: Given : A - B ⊇ {3} {2} ⊆ B So, A ∪ B = {2,3} {2,3} ⊆ A ∪ B

Q: Given that A = 2 3 -2 and B = 3 -4 +] evaluate A² - 2B.

A:

Q: Prove or disprove: if a, b, c e N, then a2 - 6 + 4c + 2.

A: a2-b2≠4c+2 we have to prove this relation in three cases like a<b,a>b and a=b

Q: 1 9) Let A= and B= 6. Find AB. 5. 3 4

A: If A is the square matrix of order n×n and B is another square matrix of order n×n, then AB can be…

Q: If = C,e-* + C2xe-* + C3x?e¬* + C4e* , then the roots are

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Q: 2. |a + ib|= √a² + b² O True O false

A: This question is based on modulus of complex number.

Q: 5 25 1+2+20+20+ 4 16 64 an = ||

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

Q: If n(A ∩ C) = 195 and n(A ∩ B ∩ C) = 90 what is n(A ∩ BC ∩ C)?

A: We know that, P(A n C) = P( A n B n C) + P( A n Bc n C)  n(A n C) = n( A n B n C) + n( A n Bc n C)

Q: If A - 3 1 determine A?- 2A +I 2

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Q: Suppose P(E) = 0.74, P(F) = 0.4, and P(E´∩F) = 0.49. Find P(E´∪F). Note the complement symbols.…

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Q: 2. Evaluate f]x-1dx 1 O 2 O None of these

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Q: Find the following expression, if not defined, give the reason why. a.) 14B – 3B

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Q: Proposition 82 (Ex4) Prove: For each integer a, a = 1. if a? = a, then a = 0 or %3D

A: Let a∈ℤ, ℤis the set of all integers. Let a2=a subtract a on both sides ⇒a2-a=a-a ⇒a2-a=0…

Q: Find the following

A: The integration rules used here are  1. ∫fx±gxdx=∫fxdx±∫gxdx2. ∫xndx=xn+1n+1+C

Q: . If n(A) = 30, n(B) = 40, and n(A ∪ B) = 45,find n(A ∩ B).

A:

Q: If a * b = a + 2ab, is (a * b) * c = a * (b * c)? *       a. Yes b. No c. Maybe d. Cannot be…

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Q: If (ax + bx) = n and 7+1 E(ax – bx) - 2 Σ bk) , then ak 77+2 -1

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Q: Find BA. A= BA= 0 -:] 7 -1 -3 0 -3 -5 -4

A: Finding the product of matrices.

Q: Find the following expressions if a = (6r, 0, r), b = (6s, –s, 7s), and c = (2t, 10t, 5). a ·b = 1.…

A: We need to find dot product.

Q: If the product of two integers is positive, their signs are . b. If the product of two integers is…

A: To solve the following problem

Q: If d is g(a, b) and c is another natural number which also divides both a and b. Then c also divides…

A: Given that c divides a and b ,d belongs to( a ,b) so assume a,b are 4,8 and c is 2 and d is 6

Q: Let |4|= 3m and B|= 4 , then |4 B| is m=3.6 إجابتك

A: Given that |A|=3m and |B|=4 find A-1B also m=3.6

Q: a. What is P(A|B)? P(A and B)/P(B)=. b. What is P(B|A)? P(A and B)/P(A)= Are A and B independent? C.…

A: a) The required probability is calculated as follows: P(A|B) = P(A and B)/P(B)             =…

Q: "x is in A"  and "x is in B"

A: " x is in A intersection B" is same as " x is in A" and " x is in B".  For "x is in A union B" is…