(u, v) is an inner product. Prove that the given statement is an identity.       llull2 + llvll2 = 1/2llu + vll2 + 1/2 llu - vll2

Q: If B has a column of zeros, then so does BA if this product is defined. True O False 4

A: Given B has a column of zeros , then to find BA has a column of zero or not .

Q: Let_Z1 = 3 + i and Z2 = 5 + 2 i . Find 2 Z1 /( Z1 - Z2) - (14/5)-2 i O (14/5) + 2i O - (14 / 5) + (…

A: Topic = Complex number

Q: 4x+2y=2 1.) 2x+2y=4

A: The given system of equation is: 4x+2y=22x+2y=4

Q: construct vw so that v= 2ab?

A: Here VW  and AB are line segments . To construct VW ,so that VW=2AB

Q: for the discrimanat here dont we do (Uxy)^2-(Uxx*Uyy)

A: Please see the below picture for detailed solution.

Q: Let T: P₂ P₂ be a mapping defined by T(a + a₁x + a₂x²) = ao + a₁ (x + 1) + a₂(x + 1)². a) Determine…

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Q: Differentiate y = xV A. 2Vx (2+In x) В. (2+In x) VX C. 2vx 2V (2 – In x) | D. 2V (2 + In x)

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Q: Given B1 and B2 as the bases of R?. B, = {[",]-C1} and B, = {G-C) %3D Find a. The coordinates of…

A: Ansa; Consider, 10=a11+b3-1⇒10=a+3ba-b⇒a-b=0⇒a+3b=0slove both equation and get;a=b=14 Co-ordinates…

Q: the smallest possibl product of the two numbers x>= 0 and y<= 0, such that 2x-y=120 is:

A: Let x and y be two numbers such that  x≥0,y≤0, 2x-y=120y=2x-120

Q: 2 2 X = {K_EW : S" (Lu' (+)/² + 9 ª 14(+)1³)dt< =0} O why this is inner Product ?

A: Given: X=u∈W:∫0∞u't2+92ut2dt&lt;+∞   To explain: Why the given condition represents an inner…

Q: Let á (5, 5) and 6 = (- 3, 1). - Find ā · 6

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Q: Please find cross product c=a x b, where a= and b =. For c=16i+0j+?k, please enter the missing k…

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Q: What is the difference between the minor of an element aij and the cofactor of the element?

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Q: 3. npor Find the dot product

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Q: 1) 2 J0 (1 – 9ry²) dy dr

A: For the given double integration , first we gonna solve for dy then dx.

Q: Use cross products to find the area of the quadrilateral in the xy-plane defined by (0, 0), (1, -1),…

A: The quadrilateral is formed by the vertices in the xy-plane defined by 0, 0, 1,-1, 3, 1, and 2, 8.…

Q: i want Z( zero) and Za

A: The known values are, x = 224, n = 237 The sample proportion is,

Q: Evaluate the commutators [Lz, r²] and [Lz, p²] (where, of course, r² x² + y² +z? and p? = p? + p; +…

A: Given To evaluate the commutators Lz,r2 and Lz,p2 where r2=x2+y2+z2 and p2=px2+py2+pz2.

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

A: