Compute the quadratic form x Ax for A= Xx₁ 12 - a. x = b. x= 1 X2 a. x¹Ax= 3 2 [1] 10 C. X = and each of the following vectors.

Q: Vectors u and v are shown in the graph. -12 -11 -10 -9 -8-7-6 -5 -4-3-2 What is projvu? u 6 5 3 2 -1…

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Q: ..... A= -1 1 is diagonalizable. Select one: True False

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Q: Show that

A: Given,  To prove 1  1    1a    b    c  a3      b3     c3=a-b(b-c)c-a(a+b+c)

Q: -10 Write x as a linear combination of a and b. Your answer will be an approximation, you are…

A: To Write x as a linear combination of a and b. Using the help of given graph

Q: ONEGOToft, Q3: Express the sum of the Vectors AB and CD, givende four Points A(1,-1), B(2.0),…

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Q: Let a = 2 (-) (-3). 1 and b = What is a|²|b²+ la · b|²? -2 be two vectors.

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Q: skip the first 3 thank you

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Q: The nullspace of A = the values of i and j. i= j= -6 9 -3 -4 6 321 can be written as the span of the…

A: Let A be a matrix of order m*n , then  The null space of A is defined as Nul(A)={ x in Rn : Ax=0 } .

Q: (b) Write the following vectors as linear combinations of 21, 22, and 23.

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Q: - - 1. If à = 2ảx + 6ảy – 3ả₂ and ☎ = −3ảx – 4ảy – 5ả₂, find a. a unit vector in the direction of A…

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Q: Find the two square roots of i.

A: Let's assume  i=a+ib                                                          ..1 Where, i=-1

Q: The vectors & and B are given by X = 2i + 3j and B = = 1 + 2j then Xx B

A: The given vectors are  X=2i+3j, B=i+2j We can write  X=2i+3j+0k, B=i+2j+0k As we know that, the…

Q: 4. For the vectors à = and b =, calculate a. à.b axb b.

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Q: The vector result of (ì − 2j +3k) · (−2ī + 2j − 2k) is a. -i + 7j b. -i+j-k d. j+7k e. -i+7k c.…

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Q: Find the solution set of the following vector equation.

A: In this question, we solve the system of equations. Here, we write the system in the matrix form,…

Q: Use complex numbers to transform the following vectors, rotating by the angle and scaling by the…

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Q: SOLVE THE FF AND MAKE SURE THAT YOUR FINAL ANSWERS ARE IN 4 DECIMAL PLACES. MAKE SURE YOUR SOLUTION…

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Q: In the graph, 1 and 2 are complex numbers represented as vectors from the origin. What is 2-1? 4 Z1…

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Q: Consider the following vectors: 3 -3 3 3 2 8 -1 For each of the following vectors, determine whether…

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Q: Find the angle between the vectors and .

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Q: Find the sum of the following vectors: and =< ♦

A: Given vectors are  u=&lt;-4, -7&gt; and v=&lt;-3, 8&gt;

Q: 1. Consider the following vectors: a = 2í +33, 8 = -27+3k, and ở = -37+ 237 Compute the following…

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Q: Solve the following vector equation:

A: Introduction: The graph of a system of two equations in two variables (x and y) is a pair of lines…

Q: The sum of -5ỉ + 3j is the vector . а. TRUE FALSE b. The vectors ở = aỉ + bj and d = are orthogonal.…

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Q: c. Using geometric vector addition, draw the vector sum 2a + 3b - č. Then, verify your answer using…

A: Using Figure we have to answers the following Questions. c. Using geometric vector addition, draw…

Q: Given the points (-1, 3), (0, 1), (1, 3), and (2, 9), solve the equation Ax = b for x = c de to find…

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Q: Let A = -1 -3 3 and b = b₁ 8} Show that the equation Ax=b does not have a solution for some choices…

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