Explain and find hy so that (if h exists) so that a. Tix)= Ax is one-to-one b. T(x) = Ax is onto [__ ^ $1] A= -2 6 4 13 h Find a so that B- HEIN MINOTO 2 a an a is invertible

Q: For which value of x is A = x= 4 1 -4 4 0 0 1 NOT invertible? -3 r

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Q: evalieante the folliwing innegratin ni fullowing dif Path C I'm 2 fo,1). (3,!) -3 -2 -1' pathz path!…

A: The given problem is to check that the given is satisfying the cauchy reimann equations or not and…

Q: If A²=0, prove that A cannot be invertible.

A: Given,If A²=0, prove that A cannot be invertible.

Q: Let A = 1 -X -X X 1 -x X X -1 Find x such that A is invertible.

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Q: Let 1 2 A = 3 6 Is A invertible? Explain your answer.

A: To verify is the given matrix A is invertible Or not.

Q: Suppose A=| use Diagonalization to compute A" 10

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Q: Use the following matrices for this activity. [-2 0 3 3 1 2 0] -1 -2 3] 1 C = | 2 L-i 0 1 -1] A = B…

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Q: Suppose I + AB is invertible. Show that I + BA is also invertible by showing that (I + BA)¯ = I –…

A: Assume that I+AB is invertible.  Then, I+ABI+AB-1=I ⋯ 1. Use equation (1) and calculate…

Q: Prove that the set of mxn upper triangular matrices is a subspace of Mmxn(F).

A: We have to prove that -

Q: The set of polynomials {1, x² + 3x“, 2x² – 7x4} is a linearly independent set in P4.

A: NOTE: Due to time limit answer of 1 is given here, for other please ask in a different question.…

Q: The Hamacher product is the t-norm given by ab t(a,b) = a +b – ab Show that this function satisfies…

A: Here the Hamacher product is the t-norm given by t(a,b)=aba+b-ab We have to show that this function…

Q: Calculate the commutators [p(hat)x3, x(hat)].

A: We have to calculate the following commutators. p^x3 , x^ Introduction: Commutation of operator A^…

Q: Write x3 + 2x + 1 as a product of linear polynomials over someextension field of Z3.

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Q: Write x3 + 2x + 1 as a product of linear polynomials over some extension field of Z3.

A: Given: x3+2x+1. To Do:We have to write x3+2x+1 as a product of linear polynomials over some…

Q: is the columd of matnla A Explain why Oineanly nメn an A is invertible. independent when are 1 6

A: To explain why the columns of an n x n matrix A are linearly independent when A is invertible.

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Q: Consider the system below. * = rx + y – x³ jy = -x + ry – 2y Chis system has a fixed point at (0,0).…

A: First we will calculate Jacobian matrix at the origin and then its eigenvalues. Then depending on…

Q: 1 a 0 b 1 -1) 31 For which values of a and b is-2 invertible? Why?

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Q: Show that if M, - M. - (C ). (6 ). Ms - (: :). M2 = %3D %3D then the span of {M1, M2, M3} is the set…

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Q: how that ℝ3 = span( 1 1 2 1 2 1 0 3 -1

A: We want to show that  any vector can be written as linear combination of the three  given vectors…

Q: Consider the bases B₁ and B₂. B₁ = {[A], [4]},&₂ = ({[14]-[}}} 2 Find [x]82 if [X]8₁ = [₁]. 3

A: To find [X]B2, we can first find the matrix representation of the change of basis matrix from B1 to…

Q: = kA modulo m for the given values of k, A, and m.

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Q: Find a number z (except 0) such that Az³ + Bz²+ Cz = D 2 1 3 0 -2 -4 00 ^-[ ] ³-R2 :]-[+]-[1] B= 1 2…

A: Solution

Q: E Show that x'+ 3x+ 2 has 4 zerosin Ze

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Q: The value of a' for which f : R → R, ax +7 flx) is invertible lies in %3D 2 x* +4 (а) (0, 2) (b) (1,…

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Q: Determine the number a in Z5 so that (x - a) becomes a divisor of f (x) = x ^ 3 + 2x ^ 2 + 3x + 3 in…

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