Given a matrix in its reduce echelon form. Explain whether or not there would be a vector b so that  a. Ax=b has a unique solution b. Ax=b has infinitely many solutions c. Ax= b does not have any solution.

Q: Find the matrix of the quadratic form. Assume x is in R°. 5x - 4x3 + 3x3 + 18x,x2 - 4x,×3 b. 3x -…

A: We want to find matrix of given quadratic form.

Q: Given a matrix A = -2 Find the matrix B if 2B - 312 = A. %3D

A: Given: A= 50-21 Now lets assume B=abcd

Q: Fuse an inverse matrix to solve the given system of equations. X-X, +x, = 1 2x, +x, +2x, =2 3x, +2x2…

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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: Q1: Solve the set of equations using matrix: x+ 2y +3z = 1 y + 4z = 0 5x + 6y = 1

A: The given set of equations are…

Q: Using the given matrices, find the matrix A/B if:

A: Given,        A=2-3434-2-423, B=1-22-3342-23 To find the matrix AB.

Q: SOLVE: 3AT.B MATRIX A O -5 6 -4 MATRIX B 3 -1 9 7 -2 -3 11 6 -3 O -4 9 -1 2 3 2 -17 -31 -51 14 24…

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Q: If A is a 4 X 2 matrix, explain why the rows of A must be linearly dependent.

A: If A is a 4 x 2 matrix, then it has 4 rows and 2 columns. Each row can be thought of as a vector in…

Q: Give the reduced row echelon form of the augmented matrix. [14 -2 150] 0-5 3 100 26 -3 200 000 J

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Q: Q2:- A/ Solve the linear equation by inverse of matrix X+2X,+2X=1 X+3X+X 4 X,+3X,+2X,-3

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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: (b) Let A be an m × n matrix. Prove that row(A)- = null(A). =

A: Given information: Matrix A is of order m×n. To prove: rowA⊥=nullA Orthogonal complement: Consider V…

Q: Q3 a) Solve the following: 25x+2 = 53x-4 b) Given matrices, A = (3¹),B=(₁-2) and C = (8), find i.…

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Q: Envision a 2 x 3 matrix.

A: Let A be the matrix with order 2×3, which represents 2 as number of rows and 3 as number of columns.

Q: Express as a single matrix.

A: 20-1-4321-34-2105-1

Q: Assume that your company generates an annual profit of 2 million dollars per year, and part of that…

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Q: Using the matrix notation, write the system of linear equations: 2x1 - X4 5x1 + x2 X3 1 -x + 4x3 +…

A: The given system of linear equations is, 2x1-x4 = -15x1+x2 = 1x3 = 1-x1+4x3+x4 = 0 The objective is…

Q: can you put the answer in matrix form

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Q: s this matrix in row-echelon form or reduced row-echelon form

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Q: Q2) Factorize then solve the following matrix (2 -1 1) 4 ()- 3 3 9 =| 45 3 5. \29,

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Q: 4 03 -2 3 0 10 5 a. 1 7 b. -3 7 0 c.-3 9 0 051 7 0

A: (a) The given matrix is 105017 Let S be the set of columns vector then we have  S=(1,0), (0,1),…

Q: a) Write the augmented matrix for the row chelon form of the matrix. x + 2y3z = 9 2xy +z = 0 . b)…

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Q: (a) 2A + 3C (ط) B R

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Q: Solve for C1, C3, C4, C5, & C6 without using matrix. Show the solution. C1-C3=1035.180…

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Q: Use a software program or a graphing utility with matrix capabilities to write v as a linear…

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Q: 2. Write the matrix equation 1 -2 -3 1 2 -3 1 3-4 = X4 as a vector equation. You do not need to…

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