5. Find the eigenvalues and the eigenvectors of the following matrix [5_ 2] A l4 3]

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A: Solution is given below:

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Q: Q3: (A) Prove that 2. Every group of index 2 is normal.

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Q: D Let I be an ideal of ring R Such Hhut when cver R is Commutakive with idlentily then so is the…

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A: a. We need to find the elements of ℤ8 that have multiplicative inverses.

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A:

Q: by of R then I,U Iz is not ideal how example if I, and Iz are ideals an

A: To show: union of two ideals is not always an ideal.

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A: use the the value of x for finding the value of revenue function

Q: Q4: (A) Prove or disprove each of the following 1. Every prime ideal is maximal. 2. Every subring is…

A:

Q: ба" 2a equal 3 3a$ and why For what value of m does

A:

Q: 3. Evaluate the integral х3 — 2x? — – 2x² – 4 dx x³ – 2x?

A: ∫ (x3 -2x2 -4 )dx/(x3 -2x2 ) ∫ (x3 -2x2)dx/(x3 -2x2) - ∫4dx/(x3 -2x2) ∫ dx - ∫4dx/x2(x-2)  x -…

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Q: C. log, b 1 log, a D. If 2ª = then x+y = 0 1 24

A:

Q: Define the concept of field. Is Za field?

A: Definition of Field:-A commutative ring (R ,+,.) with unity is called field if each non zero element…

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A: First plotting the graph of given function then apply the given transformations step by step :

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Q: 200=m(9.8) sin 30

A: A detailed solution is given below.

Q: Nick deposits $1500 into a savings account that earns simple interest. The bank ar interest to his…

A: Given:   Data is given

Q: -2 4 a) 0 Lo 4-10 0. 4 -21 4 c) 0 1 10 3. 3. O10 010 b)

A:

Q: Spider Webs The cross threads in a spider web are approxi- mately equally spaced, and the lengths of…

A: This is a problem related to sequence and series calculation. Based on the concept of arithmetic…

Q: Define maximal ideal, prime ideal.

A:

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A:

Q: What is the value of x in the expression 1 *-2 = 5x+107 125 A B -1 -6 D

A: Given that we need to find the value of x for the following expression.  As we know that.   (am)n =…

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A: In this question we have to find that function which have most x-intercepts.

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A: A subring S of a ring R is a subset of R which is a ring under the same operations as R.   An ideal…

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A:

Q: MIXED PRACTICE Continu 9 Write an equation in poi each problem. a m=-8 and passes point (3, 12) b…

A: As per the instruction, we will be answering only the first question. For (9), For (a), Given that…

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A: Given  f(x) and g(x) functions. Let's find g•f and f•g.

Q: +4x-5 . Which of the folowing is a factor of both expressions? 2x +3x-5 A) (r+5) B) (x-5) C) (r-1)…

A: We have to find common factor of both expression.

Q: Consider the following sets. A = {3, 6, 9, 12, 15, 18} B = {4, 8, 12, 16)} C = {3, 6, 9, 12} D = {1,…

A: Given that some set A,B ,C,D,E,F and we find ( AUB )  and (A intersection B ) and( A U C U D).…

Q: Compare the functions shown below: g(x) x y -16 0 1 f(x) = 4 sin (2x - TT) - 1|1 -2||h(x) = (x - 2)?…

A:

Q: Compare the functions shown below. fx) g(x) y -6 -11 -5 -6 -4 -3 h(x) = 2 cos x+1 -3 -2 -2 -3 12 3/2…

A: we can find the maximum values of y  in each case with the help of given data

Q: 7 - 4/5 ? (a) 7 1/5 (b) 6 2/5 (d) 5 3/5 (e) 1 3/5 (f) 6 1/5

A:

Q: 8. Solve the rational equation below. 글 + %3등 A. x = 1 B. x = 2 C. x = 4 D. x = 5

A: Answer: The solution is given below:

Q: If A= 2+5i, B=6-4ic C=9-2i, where i is the imaginary unit, then AB – C. 23 +20i O 23-20i O 23 + 24i…

A: Given query is to find the value of AB-C.

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Q: Which graph is the right answer

A: Given  Profit function    This is the equation of parabola

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Q: 3 9. Are f(x) = x + 1 and g(x) = Vx – 1 inverses? %3D -

A:

Q: Find and simplify the expression if f(x) = x - 5. f(2 + h)

A: Given: f(x)=x2-5

Q: Q24: What's mean by a nilpotent element of a ring R? Find all nilpotent elements of Z,.

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Q: If cos e = V2 and n <0< 2T, what are the values of sin O and tan 0? 2 O sin e = tan O = -1 O sin e =…

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Q: For each system, choose the best description of its solution. If applicable, give the solution.…

A: This question is related to Linear equations, we will solve it using given information.

Q: Q24: What's mean by a nilpotent element of a ring R? Find all nilpotent elements of Z.

A: The detailed solution is given below Thank you

Q: a) 2 = 322 Q.9) The form of the particular solution of the cquation y" - 9y = 4 sin 3x + 2cos3x ,…

A: Option (B)

Q: A. Tell whether each statement is true or false. 1. ACU 2. ACC 3. DCA 4. DCB 5. ØCA

A:

Q: A. List the elements of each set. 1. Set of all integers greater than 2 but lesser than 12. 2. Set…

A:

Q: Use the graph of a function f to determine x or y to the nearest integer, as indicated. Some…

A: From graph function is passing through origin when x = 0 , y = 0