) Find the following norms: (Type in exact answers, e.g. sqrt(2) for v/2.) (a) ||u|| for 1 u = 1 2 Answer: ||u|| (b) ||u|| for 5 11 = -5 Answer: ||u|| (C) ||u|| for 2+ 6i u 8 + 8i + 4i Answer: ||u|| 5.

Q: 8. There are several norms of practical importance on the vector space of ordered n- tuples of…

A: (i) Consider the n-tuple x=ξ1, ξ2, …, ξn with the norm x1=ξ1+ξ2+…+ξn. (N1) To verify x1≥0 for all x.…

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A:

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A:

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A:

Q: -2 2 2

A: A graph of the function is given, we have to find the equation of the graph.

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A:

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A:

Q: Evaluate the following commutators [Â, B] = ÂB – BÂ. Hint: use an arbitrary function that cancels at…

A: a x,PxPx=-ih∂∂xx,Pxφ=x,-ih∂∂xφ=-ihx∂φ∂x+ih∂∂xxφ=-ihx∂φ∂x+ih∂φ∂x+ihφ=ihφ∴x,Px=ih

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A: Introduction: The formula for de morgan's law is given by, ~(a∧b)=~a∨~b~(a∨b)=~a∧~b

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A:

Q: 11. The Hermite polynomials, H, (x), satisfy the following: į. = Se-** H„(x)H,m(x) dx = \T2"n! ,n,m:…

A: Given the Hermite polynomial satisfies the following (i)  Hn,Hm=∫-∞∞e-x2HnxHmxdx=π2nn!δn,m(ii)…

Q: b.) 3x-2y < 12

A:

Q: Suppose SCR is a set of numbers. (a) Define inf(S) and sup(S). (b) Show that inf(S) = - sup(-S). (c)…

A: Set: A well-defined collection of objects or numbers is called a set. We can write a set in two…

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A:

Q: 3) Find integers x and y such that 13x + 15y = 1.

A: We see, 15 - 13 = 2              =&gt; k(15 - 13) = 2k for any integer k              =&gt; 15 k -…

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A:

Q: 1a.) 0x**3  + 9x**3  1b.) 4X**3  - 9x**5  1c.) (3x   + 1x**3) + 2(9x**3 +(-3x)) 1d.)…

A: 1a.) 0x**3  + 9x**3 1b.) 4X**3  - 9x**5 1c.) (3x   + 1x**3) + 2(9x**3 +(-3x))1d.)…

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Q: Use trig substitution to evaluate: (hint: let x = 3tan0) %3D

A: ∫01xx2+9dx

Q: a) b) ab ac a + bc 3a 3 26 2. d) 1+ 2x 3x 똥 +

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Q: Determine

A: We use definition of basis.

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A:

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Q: Evaluate and express in the form of z = a + ib (where a & b are real numbers): 10 5 3-4i 4+3i :=…

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

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A:

Linear Algebra

In mathematics, problems can be solved by the arithmetic operators like addition, subtraction, multiplication, and division. In algebra, we represent the numbers by any letter called a variable. If these variables are of degree 1, then it is studied under linear algebra. The first-degree equations involving algebraic expressions are called linear equations. That is, if you represent it by drawing a graph you will get a straight line.