Find the value of k such that A is singular. 0 4 6 -1 0 4 2 k k =

Q: Find the value of k such that A is singular. 1 0 5 3 -1 0 2 k k =

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Q: Find the value of k such that A is singular. 1 0 4 5 -1 0 3 3 k k =

A: Topic:- Matrix

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Q: Let n E Z. Prove that if 3/ (2n² + 1), then 3 | r n.

A: Solution:     Let 3 does not divide n      => n = 3k ± 1 for some integer k.       => 2n2 + 1…

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A: given(a)f(x)=3cosxdomain of this function is (-∞,∞)(b)g(x)=13+xx≥0therefore domain is [0,∞)

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A: given matrix  A=1a12a1301a23001 and I=100010001 prove  that A-1=I-N+N2-N3 where N=A-I

Q: Let  A = (1 1 1, 1 2 2) Find R(A), R(AT), and N(A)

A: Given,A=111122the reduced row echelon form of AMake zeros in column 1 except the entry at row 1,…

Q: Which of the following statement is always true? (a) p(2n) = p(n) (b) p(n) is always even. (c) Edin…

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Q: 1) Suppose A e M„(R) is. show: A) A is singular if and only if adj (A) is singular. n-1 B) If n > 1,…

A: The solution is given as

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Q: Let a, b eR with a < b. Assume that a + <b - for all n E N. Show that b- = (a, b). %3D n n=1

A: We will show  two sets are equal.

Q: The characteristic of Z5[x]/ is O 3 5

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Q: Prove this! P (an) = W/ NM) [M-N (p-q)" ] 8 Npq %3D exp

A: your question is not clear i think some error in the question plz confirm it.....

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Q: Find all the numbers z such that e^2iz= 5i.

A: We are given : e2iz=5i Now Using  Euler's equation: ( eix=cos x+i sinx) ⇒e2iz=cos (2z) +i sin(2z)…

Q: 2 Delermire if fW=x s is even, odd neither.

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Q: 2. T = {m EZ| m 1+ (-1)^i, for some integer i} *

A: Given T=m∈ℤ|m=1+-1i for some integer i

Q: Write a in the form a = a-T+anN at the given value of t without finding T and N. 23 2 3 r(t) = (2t)…

A: a0=atT+anN

Q: 3.3: СРСТС A 2.) Given: 2B = ZY C is the midpt. of BY Conclusion: AB = YZ Y Statements Reasons

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Q: АР 1. Find the point P such that - АВ = r, where A(4,3, –2), B(-5,0,4) and r = NIM

A: As per bartleby guidelines, I can answer only one question. So, please repost the other two…

Q: Show that e = (1 + i)/√2 if and only if z = (n/4+2km)i, k = 0.±1, +2...

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

Q: Consider a positive integer 1 < i < 9. Then, given T(n) = 2T([n / 2] + i) + n, show that T(n) E O(n…

A: Given: T(n)=2Tn2+i+n The positive integer 1≤i≤9

Q: TRUE/FALSE If A = A−1, then A must be equal to either I or −I.

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Q: Let z be a point that lies on |z| 1 >9 <1 O None of these <9

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Q: Prove that P(Ø) = 0. Hint: Let A, = Ø for all i in equation (1.3.3).

A: Consider that

Q: 1. Let A=(a)nxn be symmetric and positive definite. Show that a) a>0, i=1,2,...,n. b)…

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Q: Find the value of k for which A is symmetric: 1 4 3k A = 4 27 %3D 29 12 7k +1 9.

A: We have to find value k

Q: the value(s) of c such that 3c2n n=0

A: The given question is taken from the sequence and series in which we have to find the value of the c…

Q: 3. Prove indirectly. Let Q = {n/m | m,n E Z and m # 0}, and I = R – Q. If r e Q and sE I, then 2r –…

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Q: (2) Determine k such kx? – 4x +÷= 0 that has real and different solutions. 2

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Q: Let S be the set of integer solutions to the equation x1 +x2+x3+x4 = 30, where x; > 0 for i = 1,2,…

A: note : As per our company guidelines we are supposed to answer ?️only the first question. Kindly…

Q: 3. Let A, BE M2(Z3) be given by [1 2] B 0 2 A = 1 Find AB, BA, and A? (recall that A2 = AA).

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Q: Find the value of k such that A is singular. 1 05 6 -1 0 4 5 k k. %3D

A: If the determinant of a matrix is zero then the matrix is singular.

Q: If X-P(A) such that, P(X = 1) = P(X = 2) then find A. %3D %D O None O A=V2 O A=V3 O A = 2

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Q: Let A = {4n^2 + 1 | n ∈ Z}. Show that the size of A is equal to the size of Z≥0. Z≥0 is the set of…

A: A set A is said to be countable  if there is a bijective map between A and set of natural numbers .…

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A: #2- For a subset E of R, E' denotes the set of all limit points of of E.

Q: Let 1 3 A = -2 -1 and В - 2 -2. a. Find AT and show that (A")' = A. b. Show that (A+B)" = AT + B".…

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Q: Which of the following is a fundamental set of solution of y" – 2y' + 5y = 0.

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Q: Find the value of k such that A is singular. 0 3 2 -1 0 L 3 3 k k =

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Q: Find values of k that satisfy the following equation: JE 1 2 0 1 [1 1 k] 2 3 3 1 k

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Q: Let a, b e R with a < b. Assume that a + <b - for all n E N. Show that 1 = (a, b). a + ,b n n=1

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Q: Find the value of k such that A is singular. 1 0 5 5 -1 0 2 5 k k II

A: Given query is to find the value of k for which matrix A is singular.

Q: If the statement is true, prove. If the statement is false, disprove. 1 + 2" > 3n for all n E Z

A: False.  take n =2