Find the Euclidean inner product of the given vectors. 3 u= 5 (u, v) -2 = Ex: 5 V= 0 2 -4

Q: Diagonal Matrix Given: Y = diag(a1,a2,...,an) Z = diag(b1,b2,...bn).   a. Evaluate YZ and YZ.…

A: We know that product of diagnol matrix is a diagnonal matrix.

Q: 230 Find AB or BA, whichever is possible.

A: Given  problem:-

Q: -2 is diagonalizable. Show that B 2. Select one: 6 0 O A( 0. O B. None of the Above 6 0 1. 6. D. 0.…

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Q: Find (if it exists) the inverse of B where B = |0 1 1 1 1 1 1 0001 0 0 1 1

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Q: Find the inverse

A: Given A=-12210-1314We are required to find A-1

Q: Determine whether the transformation is one-to-one. I1 +2 - 13 + 2x4 +4x5 -201 - 12 + 2x3 – 3x4 +…

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Q: E = 5 -2 -4 3 2 2 -4 -4 -4 0 -3 2 3 2 4 4 -2

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Q: Let A and B be two square matrices of order n over a fiéid F and AEF Then (I) tr (AA)=d Ir A; (2) Ir…

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Q: Describe how the following factors influence Type II Error when the complex model is true: Decreases…

A: Type II error, also known as a false negative, occurs when a hypothesis test fails to reject a null…

Q: b) Plot for A brietly comment y=Au n trans formation on the length and width Pa A of the oom.

A: Given A=300-1. For xy∈ℝ2,  Axy=300-1xy=3x-y Therefore, GraphA=x,y,3x,-y|x,y∈ℝ2 For example if…

Q: 2 2] 2. Solve for x, y and z. -5 6

A: We will solve the problem

Q: Find the dot product. (-23, 4)·(13, –5) О -316 О -318 О-315 О -319 О -317

A: We need to evaluate the following dot product -23,4·13,-5 Formula used : x1,y1·x2,y2 = x1·x2+y1·y2

Q: 2 -2 If B = then B is not invertible. -3 3

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Q: Find the two conditions on b1, b2, and bz which determine solvability of 4 8. 3 4 =6= b2 -6 -7 -8 b3

A: The objective is to form the equation involving b1, b2, and b3 that determine the solvability of the…

Q: Using LU decomposition, find its factor B= 3  2  9       2  1  8       2  1  12

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Q: det b2 a1 92 261 262 b1 b3 az 2b3 + det C2 a1 92 2b1 262 C1 C3 az 263 = det b₁ b2 b3 a1 a2 a3 + det…

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Q: Tell whether the matrix is inverses. (Yes/No) Гз 11 Го 1 11. 12. l -3

A: Consider the property for the matrix A and inverse matrix. A⋅A−1=Iwhere, I=1001

Q: Compute u + v and u- 4v. u= u + v= -3 2 5 (Simplify your answer.)

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Q: 2 3 4 5 6 7 2 7 1 5 3 1

A: Here given permutation as 12345676271534

Q: A= 2 -4 5 ܂ * 3 -6 -6 8 ܕ ܗ ܕܝ 4 -3 6 -7 -1 -8 9

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Q: See below. (1 -1 3 7 3 -1 6. 3 | 4 5 -2 3 Given: A = 2 -1 1 1 0 0 -2 Find: |A|| 2) 51

A: We Know that Here given matrix is square matrix of size 6x6 and Upper triangular matrix i.e.a square…

Q: Please solve this linear algebra question. Thank you

A: Consider the provided question, Let V be a vector space over F.

Q: 3. If A and B are 3 x 3 matrices and JA| = -3 and |B| = 2, find: %3D 1 1243 A A?…

A: Using result, If A and B are square matrices of the same size, then det(AB) = det(A) det(B). If A…

Q: 1 2 3 4 5 6 7 8 Total Price X 8 70 80 90 100 110 120 130 140 840 Demand y 36 23 12 16 14 10 5 2 118…

A: Given: X Y 70 36 80 23 90 12 100 16 110 14 120 10 130 5 140 2

Q: Show that ∣A∣ = ∣AT∣ for the matrix below.

A: Now the transpose is,

Q: Find the adjoint of the matrix A. Then use the adjoint to find the Inverse of A (If possible). (If…

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Q: Suppose A is 3 by 4, and A = 0 has exactly two special solutions (and of course, all their linear…

A: For any matrix, B : Number of colums of B=dim(rank (B))+dim(null B)

Q: Use an inverse matrix to find [x] for the given x and B. 5 (-3) -6 B= -3 4 [x] = (Simplify your…

A: We will find the required .

Q: Given that a₁ = a2 A -2 3 and -2 -2 -11- 0- 1 1 and 1 -3 = [a₁ a2 a3 a4 ] and has U = RREF given by…

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Q: 3. 2 -3 The matrix product 4 1 1

A: Follow the next step for explanation.

Q: Calculate the linear combination. (Give an exact answer.) X = y = 6(4j+2k) - 4(2i + 7k) = (x, y, z)…

A: The vector is given by 64j+2k-42i+7k = x, y, z To determine: The values of x, y, and z.

Q: 1. 6x6 . 12x is equivalent to: A 1812 18x36 72a6 D 72x12 E 72x6 C.

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Q: Find the adjoint of the matrix A. Then use the adjoint to find the inverse of A (if possible). (If…

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