Define T: R R by T(x)= Ax, where A is the matrix defined below. Find a basis B for R with the property that [T]g is diagonal. %3D 0 - 3 A = 7 B= . (Tle = %3D

Q: G= G(2:3,:) G= ? 1 4 7 2 5 8 3 6 9

A: It is provided that: G=123456789. We need to evaluate the expression: G2:3,: using a computer…

Q: 1. 2+(9-4) 2. 2 (13+5-14+(3+4)) 3. 7+(12-3) 4.7+(12-3)-

A: 1. 2+(92 - 1) = 2+ (81 - 1) = 2 + 80 = 82     2. 2.(13+5-14÷(3+4)) =2.(18 -14÷7) = 2.(18-2) = 2.16 =…

Q: Which of the following is equivalent to S = {spring, summer, autumn, winter}?

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Q: 2. Sキ 1 dx 5+x2

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Q: Find the line that best fit the data 2 [8] [8] [3]- "

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Q: 6. a) Deduce the value of) ().

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Q: Q5. If P(AUB)=0.3, P(A)=0.6 and P(Bº)= 0.7 Find 1) P(ANB) 2) P(A/B)

A: We have given thatP(A ∪ B) = 0.3P(A) = 0.6P(Bc) = 0.7

Q: 2. Compute each of the following. (2bdm from 5.4) (2361)(CD) 10 (VCC1) (93)(VE) (EC) 19

A: Introduction: Multiplication is a mathematical operation that represents the fundamental concept of…

Q: & († c + c) h

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

Q: 1.4.7. .(3η- 2) E(-1)" 7.9.11.......(2n+5)

A: Given : ∑n=1∞(-1)n 1.4.7.....(3n-2)7.9.11.......(2n+5)   To Find: Whether it is convergence or not…

Q: If gcd(a, b) = lcm(a, b). then a = b. %3!

A:

Q: 14) kla) = -4* * 2; Find k(a – 2)

A: Given,k(a)=-43a+2Replace a by (a-2)k(a-2)=-43(a-2)+2k(a-2)=-43a-6+2k(a-2)=-43a-4

Q: 7.) 10² - 15i*

A:

Q: Do not use a calculator in this question. 3 V3 6+2v3 5- V3 p+qV3 6. find the CS CamScanner value of…

A: This question is based on similar parallelogram properties and rationalisation.

Q: Let H = {(1), (12)(34), (13)(24), (14)(23)}. Find the left cosets of H in A4 (see Table 5.1 on page…

A: Given H = (1), (12)(34), (13)(24), (14)(23) in A4 H =4and A4 =4!2 =12 So , Number of distinct left…

Q: 6. to 16 2.

A: Our Aim is to solvex216+9x2=2x4-32+12-(i)

Q: 8. 8) Evaluate s k=1

A:

Q: A3. Write in 19.20

A: To write: The series in sigma notation. (a) Explanation: It can be observe from the series that the…

Q: Find The gh teim of

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Q: m21 m2] = m22 = m23 = 73° 4 5 m24 = 469 m25 = m26 = m27 =

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Q: 5 -5 1 0 A = -3 B = 0 1 8 4 (a) АВ

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Q: selected at random from a production line and w They had an avers 21 45 gr weight of F-

A: Sample size n =28 Sample mean=21.45 Standard deviation =0.31

Q: Evaluate foxe*² dx . 2 0 a. b. OC. O d. 9 =/12 + C 2 2 (e⁹-e) + C (e⁹-1) + C (eº-x²) + C

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Q: Perform the indicated operations. -(4-7)² ÷ (-3)∙4= C

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Q: Find ſ using residues.

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Q: Suppose P(E) =0.30, P(F) =0.34, and P(F ∩ E) =0.07. What is P(Ec | F)? (Enter answer as a decimal…

A: P(E) =0.30 P(F) =0.34P(F ∩ E) =0.07.

Q: 8. Refer to Example 50.9 for Exercise 8. Exercise 8: What is the order of G(Q(VZ, iv3)/Q)?

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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: How is the substituation made from Eq.1 to be become S

A: