(A) Construct the matrix equation used to find the least squares best fit of the data (-2, – 2), (1, 1), (-2, 1), (1, 1). to the formula c- +q+c%z = y. (B) Construct the matrix equation used to find the least squares best fit of the data (0, 0, 3), (-3, – 3, 3), (-3, – 3, – 1), (2, 0, – 2). to the formula cI +qy+cxy = z. (C) Construct the matrix equation used to find the least squares best fit of the data (0, – 2), (, 3), (G, - 2) to the formula co sin(z) +q cos(z) = y

Q: Determine if the columns of the matrix A = - 2 1 4 0 84 4 t 0 are linearly independent.

A: Here we need to show that columns of matrix A are linearly dependent or independent.We all know that…

Q: If A is 4x4 matrix with det(A)=10, find det (24-¹A), det (A²).

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Q: Convert the augmented matrix 4 -1 -4 - -1 -4 0 5-2 to the equivalent linear system. Use x1 and x2 to…

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Q: The parabola y = a + bx + cx² goes through the points (x, y) = (1, 4) and (2,8) and (3, 14). Find…

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Q: Write down the 4×4 3D matrix to scale an object by 50% in all directions.

A: We have to write down the 4×4 3D matrix to scale an object by 50% in all directions.We know…

Q: Solve the matrix equation AX = B for X 8 1 A = B = -1 2 - 13 X =

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Q: Give a specific symmetric 3x3 matrix whose first row is [1 9 -2] 6. and whose second column is row…

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Q: b. Solve the four equations by row reducing the augmented matrix [A b, b, b, b4). Write the…

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Q: Suppose that B is a square matrix with det(B) = -2. Find each of the following. (a) det(B6) = (b)…

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Q: Find the range of a (2 × 3) matrix B with rank(B) = 2

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Q: Determine the row rank of the matrix 145 2 8 10 3 64 Possible Answers: 3 0 1 2

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Q: Determine which of the points (-3, 1, -1), (5, 6, 4), and (6,-3, 3) satisfy the linear system 9x1…

A: Introduction: A collection of equations can be expressed using an expanded vector. Each entry in an…

Q: Find values for the the entries in the first matrix to satisfy this equation: 0 0 39 9 +] 0 02 7 24…

A: I have explained everything with in the solution. Please go through that

Q: Answer is supposed to be in the form of a 4x4 matrix

A: Ans- Given the input-output table involving four sectors of U.S economy in the year of 1977. To…

Q: Why did you write the number of columns of A as 3 when the matrix has only 2 columns

A: Let given matrix is Using RANK-NULLITY theorem, we haveRANK(A)+NULLITY (A)=number of columns in…

Q: Find the trace of the matrix 3 A 2 -2 tr(A)

A: The given matrix is A=-332-2. Find the trace of the matrix A as follows.

Q: 4, 4, -7 -5 Compute 2(2A - 3B) if matrix A = and matrix B = %3D 3 - 4 2. 2(2A - 3B) = (Simplify your…

A: Multiply A by 2A=433-42A=2433-42A=866-8Multiply B by -3B=-7-52-4-3B=-3-7-52-4-3B=2115-612

Q: How would I write the following 2 functions in matrix notation? Q(h) = (h, 2h, 3h) F(x, y, z) =…

A: We have to write the function as matrix notation. The given function is Q(h) = (h, 2h, 3h) Clearly,…

Matrices

‘Matrices’ is the plural form of the word matrix, and it is basically a spreadsheet in the form of a box. In mathematics, various functions can be carried out with matrices. Generally, a matrix comes in the shape of a square or rectangle. The elements are distributed horizontally in the form of rows, and vertically in the form of columns.