The d.space of the inner product (A(F),+,;, °) is given. If A=R³, F=R, ° is the ordinary inner product of R3 v = (1,2,2) € R³ and, to find a rectangular matrix Q with first column the vector v.

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Q: 1. Find the value of x and y 70° y

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A: Given the equations x1+4x2-7x3=0 and x1+4x2-7x3=-6. We have to describe the given sets and compare…

Q: Given vectors u = (5,0,0), v = (-2,-1,0), and w = (3,7,2), %3D %3D a) Determine if the vectors u, v,…

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Q: Suppose the matrix A with column vectors V₁, V2, V3, V4 is row equivalent to the matrix C with…

A: Given two matrices A and C are row equivalent.

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Q: [5+7i] 3+4i b) A (2+9i) [5+7i 3+4i

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Q: Approximate proju and projw. -8 -7 -6 -5 -4 -3 -2 -1 proj u 5.491 projw 4.801 = vector u vector w -5…

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Q: 1 A = -1 2 For the matrix find A° using diagonalization.

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Q: do

A: As per our guidelines only first three sub questions are solved. For remaining sub questions kindly…

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Q: Multiply the matrix P = A(ATA)-¹AT by itself. Cancel to prove that P² = P. Explain why P(Pb) always…

A: Here the Matrix . For this matrix P, .

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A: Given,   And

Q: Let A be a nonzero 2 x 2 matrix such that A¹ = (8) a) Find the rank of A. b) Show that A² = 0.

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Q: Describe the solution set, x= x₂ of x₁ + 4x2 - 7x3 = -6 in parametric vector form. Select the…

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Q: (7,4) by 210 4. Use matrices to rotate the vector degrees counterclockwise about the origin.

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Q: Find the matrix A of the quadratic form associated with the equation. 9x2 - 6xy +9y2 + 24z² - 29 = 0

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