Express the quadratic equation in the matrix form x Ax+ Kx + f = 0, where x Ax is the associated quadratic form and K is an appropriate matrix. A = ¹-(- -) K= f= y² + 2x - 3y -1=0, =

Q: Use the inverse matrix method to solve Ax = b below X = (x, +2x, = 3 (2x, – x, = 1

A: Given that  To solve the given system by using inverse matrix method. X1+2x2=3 2x1-x2=1

Q: 8. Solve the following for the matrix A. 3AT. - [8 -16] - (54-[67])" = 5-15

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Q: [4 -2] Let A be the matrix 1 Compute A50 1

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Q: rewrite ax^2+by^2+cz^2+dxy+exz+fyz+gx+hy+iz+j=0 in  standard form by matrix

A: The objective of the question is to rewrite the given quadratic equation in three variables in…

Q: 1. Given the function h(x) = (3x-6)/(2x -4) find h^-1(x)

A: Since you have posted a multiple question according to guildlines I will solve first(1)question for…

Q: Identify the matrix that represents each linear transformation below. Write A, B, C, D, D or F. ^ -…

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Q: 6. Find the matrix of the quadratic form. Assume x is in R³. a. 3x} – 2x3 + 5.x + 4x1x2 – 6x1X3 b.…

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Q: 1. Consider the matrices -3 0 2-2 A₁ ¹ = ( ₁ ) ₁4₂ = ( −8 −2 ) ₁4₁ = ( −² − ²). 4 1 13 , , A3 0 -2…

A: We have to match the given matrix with the function represented in the graph

Q: Suppose A is a non-singular matrix. Using properties of the determinant, show that det(A^−1) =…

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Q: For A S calculate I+tA+ 0.904837 (-2-6) X 10 -0.200334 X 1.10517 t2 The actual value of e014, to six…

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Q: Suppose column 1 + column 3 + column 5 = 0 in a 4 by 5 matrix with four pivots. Which column has no…

A: Null space: A set X of vectors is said to be the null space of the matrix A such that AX=0 and X is…

Q: 3. Consider the linear system 2x1 + 4x2 -12, 4x1 + 5x2 = 24. = (a) Using the formula for the inverse…

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Q: Find a 2 x 2 matrix C such that C^-1 does not exist. C = 0 (C can not equal the zero matrix), and C…

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Q: Find the matrix A of the linear transformation from R² to R³ given by 1 0 -8 x2. -4 x1 + 2 -6 T…

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Q: Calculate A^-1 and use it to solve the matrix equations 1 12 5 12 ²2). 5 = ( − 3), 5₂ = ( ¹3 ). -5 A…

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Q: 7. - B-[73] Solve for X in the matrix equation: B-4X = A 6

A: Given:  A=1-6510B=-237-1 to solve for X in the matrix equation: B-4X=A

Q: Find 3 x 3 upper triangular matrix with determinant 1.

A: 3×3 upper triangular matrix

Q: If all the entries of a matrix A are integers and det (A) = 1 then the entries of A^− 1 (the…

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Q: Let A, B, C be invertible n x n matrices. SOLVE for A in: A^-1B^-1 = C^-1

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Q: Solve the matrix equation AX = B, where -1 하 A: 1 and B 1 1 [6] 0 1 =

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Q: Find a real matrix A such that A ^6 = (09, -90)

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Q: t A be the square matrix (abcd) A. If ad−bc = 1, then show that A^−1 =(d−b−ca ) B. If ad−bc=α, then…

A: If  is a square matrix then its inverse is where

Q: 1 2 3 1[1 1 07 M = 20 0 1 3|1 0 0

A: Write the relation M as a set of ordered pairs. If x,y is an ordered pair in M , then (y,x) is and…

Q: Given the matrix      A=       [4 -1   0   2] , then the trace of A^3 is?

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Q: solve for x and y in the matrix A= [ x -4 3 y] if A^2 = [52 -36  27  -11] x = y =

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Q: Create a system of linear equations A = such that the matrix A is a 2x2 matrix with a determinant of…

A: Assume Its determinant Given determinant

Q: Given the matrices A and B, solve for X. 5X - B = A. 5 A: - [31]-[9] = and B = -4 Select one: a. O…

A: A = -35-3   -4   ,   B = -3  4-355X-B = A

Q: Suppose A, B, and X are n x n matricies with A, X, and A - AX invertible and suppose (A - AX)^-1 =…

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Q: Find x such that the matrix is singular. ^-[34] A = -6 -4 X =

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Q: Prove that the calculate inverse is correct by using the formula I = A(A^(−1))

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Q: Given A = 1 1 0 3 Compute 5A *Matrix

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Q: Find the rank and the nullity of the matrix -2 -4 -2 -7 -1 -2 -2 -6 A 1 1 4 -1 -2 -1 rank(A)…

A: Given :-2-4-2-7-1-2-2-61214-1-2-1-4

Q: a+4b-2c=0 -2a-6b+5c=5 3a+14b-4c=8 use inverse matrix to solve and find a^-1

A: a+4b-2c=0 -2a-6b+5c=5 3a+14b-4c=8 use inverse matrix to solve and find a^-1 We shall solve this…

Q: (a) Consider the system of equations 11х3 — Зх1 yi %3D - 7x1 – 6x2 – 5x3 y2 х> + 2х3 — 2х = y3…

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Q: Find the inverse matrix of A. -3 then A-1 -3 d] C Insert the values in the table below. « Previous

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Q: By using the Cayley-Hamilton Theorem, find e^(At) of the following matrix A = [1 2;-2 -3].

A: Given information Matrix :- A=12-2-3 Find eAt using Cayley-Hamilton Theorem.

Q: 20. The following are rules of transposition of a matrix except: (explain) a. (A")" = A b. (A + B)"…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Given F(x) = 4₁ 21 -2x1 3 4x2 3 2x1²x24 2x15x2 calculate the matrix Jp ([^])

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Q: Consider the following system of equations for the growth of rabbits and foxes from year to year:…

A: Given system of equations for the growth of rabbits and foxes from year to year as: R'=1.5R-0.2F+100…

Q: Use determinant to find the equation of the line that passes through the points (4, ― 3) & ( ―1,2)

A: We have to find equation of line using given information Concept required: Equation of line passing…