Determine whether A is unitary, if yes find the inverse 1-і i 1+i 2 2 A = 1+i 1-i 2

Q: Let [1 2 21 A = 1 1 -1 0 and U = |-2, then determine if 3 -1 2 (i) U is in Nul A. (ii) U is in Col…

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Q: Identify what parts related to OA are named. 1. AJ, AE, AN 2. JE 3. LE JE,EN 4. JNE or LE 5. ), LN,…

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Q: 1 Let j be any non-zero number. What is the additive inverse of j? A. В. И С. 1 D. -i

A: j is any non-zero number. A number 'a' is said to be additive inverse of a number 'b' if  a+b=b+a=0

Q: Assume a; > 0 (i = 1,..., n). Show that 1 +. a1 < (a1a2 ... an)/n. n an

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Q: Determine all s ∈ R such that I4s= (I4)s

A: Given I4s=(I4)s We know I4=1 I4s=(1)s

Q: Use the Gauss-Jordan method to find the inverse of the given matri single blank.) 1 1 0 1 0 1 0 1 1.

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Q: Give algebraic proofs of properties (1)u + (-u) = 0 ,(2) (c + d)u = cu+ du

A: Let be a vector such that  Multiply  with -1. Adding the two results,  Thus,is the additive…

Q: Q4. Determine whether A is unitary, if yes find the inverse [1+i 1-i] 2 A = i 1+i 2 2.

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Q: O show that 2. I| a+ V 1= 11 + 1i if and only if ū. ů =0 %3D

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Q: Let G={1,-1,i,-i} with usual multiplication then G is isomorphic to Select one: a. Z, x Z, b. (Z, +)…

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Q: Identify what parts related to OA are named. 1. AJ, AE, AN 2. JE 3. LE,JE,EN 4. JNE or JLE A. 5. LJ,…

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Q: State Cayley-Hamilton theorem. Verify Cayley-Hamilton theorem [1 LA 13 1 -1 -1 1

A: Cayley–Hamilton theorem: This theorem states that every square matrix satisfies its own…

Q: 8. Let B₁ = {[2][¹₂]} and B₂ = {[2¹][3]} 2 i. Find [1] B ii. Find [1] B₁ B2 B₂-1 iii. Show that…

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Q: E A B >D Given: AE || FD, EC = BF and ZABF S ZECD. Prove: AB 2 CD. F

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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: Find all value(s) of a for which the inverse of;exists. What is A−1?

A: Given: A=11010012a

Q: Question 1. Use Definition 1.1.1 to show that A = {(x1,,Xn-1,0) : -00 < 21,,In-1 < 0} CR" has…

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Q: A. Determine whether A is unitary, if yes find the inverse

A: As per bartleby guidelines for more than one question asked only one is to be answered please upload…

Q: -AC || CD . AE || CB C. none of these D. AD || CB set Selection Co search

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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: 3 1 1 A = 2 3 -2 3 2 0 Choose the correct description of A. Find A 1. if it exists. O A is…

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Q: +o0 - Find Ul-1/i, 1/i]- i=1

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Q: Prove Theorem 2.2(iii) and (iv): (iii) (B+ C)A = BA + CA, (iv) k(AB) = (kA)B = A(kB).

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Q: Q6. Determine whether A is unitary, if yes find the inverse 1 1+i V2 A = 2 -1-i 2.

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Q: Find gcd(2,3+5i) in Z[i]

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Q: Reduce (1+j)?/(1-j) to the form a+jb. a. others b. -1-j С. 1+] d. 1-j е. -1+j

A: 1+j21-j×1+j1+j=(1+j)31+1=j3+3j2+3j+12=-j-3+3j+12=2j-22=j-1=-1+j

Q: Show that B is the inverse of A. 4 1 В 5 -1 A = 19 5 -19 4 To show that B is the inverse of A, we…

A: NOTE: Refresh your page if you can't see any equations. .

Q: Suppose A E C such that A(2 + i, 3 – i) = (5 – i,7 – 5i). Then (1) A = (1 – i) (2) A = (2 – i)

A: Given that: 1. λ∈C, λ(2+i, 3-i)=(5-i, 7-5i)   NOTE: As per our answering guidelines, we can only…

Q: 6/6 Find the inverse of the turuTION. f (x) = (x - 8) + 4 %3D | SMitch x and y:

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Q: 1. Prove the next identity: A\(B U C) = (A\B) n (A\C).

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Q: Poove that O If A i's Unitsy. then A- I ff A is Heomitian. ☺ If ís Hex mitian then A³- I Iff is A…

A: Here we will use the Definition of Unitary and Hermitian Matrices

Q: Please check image

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Q: 4i then what is Re(

A: Given: z=3+4i. To find: Rezz¯.

Q: 0. Write a two-column proof. Given: ZD = ZA and AC DC Prove: BA e ED D A E

A: Two column proof

Q: Evaluate the integral. 1 (u + 8)(u – 9) du

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Q: 1. Show that 0* = 0, I* = I. %3D

A: Matrix

Q: リ この Shmo that e す。 are soluting of I

A: Note: Here, we will consider the differential equation y'''-6y''+11y'-6y=0....(1) instead of…

Q: Let Г3 -5 -1 A 2 3 3 2 В -3 -3 If possible, compute the following. If an answer does not exist,…

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Q: Let -1 2 2 A = 1 -1 0 and U =|-2, then determine if %3D 3 -1 2 U is in Nul A. U is in Col A (i) (ii)

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Q: 8 6. Let A=|3 5 7 | 4 9 (i) Evaluate det(A) by cofactor expansion. 2 (ii) If A is invertible, find…

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Q: Determine whether A is unitary, if yes find the inverse [1+i 1-i] 2 2 1-i 1+i A = 2

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Q: Calculate the products AB and BA to verify that B is the inverse of A. 9 -10 -8 3 2 A =|1 1 -6 4 -12…

A: We are given that, . Now,        AB=32411-621129-10-8-121411-121212    =3· 9+2-12+4-123-10+2·…

Q: Let а — 3 1 A = 7 -1 8- a 2 6 а — 1 (a) Find det(A) by cofactor expansion with respect to the second…

A: The solution is given below in the next step:

Q: Ex. 1.4. Let A, BE Mn(K). Prove that if AB = I, then BA =I. %3D

A: Let A,B∈Mn(k)  and AB=I     where I is the identity matrix We will prove BA=I Since AB=I ,we have…

Q: Q3/ Let G =i(arb): a e Z3 , be Z2 3; then the inverse of (1,1) is %3D ...... Q4/ In (Zz-1o1,-) the…

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Q: (c) Let a E R[r with ao #0. Prove that a has a multiplicative inverse in R[x]. You may assume that…

A: Please cheek the answer in next step

Q: -1 3 -6,Compute A-5I,. 9. Let A=-8 7 -4 1 8

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Q: af af af дх ду af and ду Calculate when defined. (If an answer is undefined, enter UNDEFINED.) əx…

A: It is partial derivative wrt x and y

Q: 73. Let Im = 7/2 sin" x dx. (a) Show that Io = 5 and I1 = 1. (b) Prove that, for m > 2, Im : т — 1…

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