Reduce the quadratic form x2+y²-9xy into a canonical form of the matrix.

Q: a) Find the matrix of the quadratic form. Assume x is in R3 5x3-x3 +7x3-5x1x2 -3x1x3

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Q: Find the matrix (AT)-1 -4 2 -3 -8 4 -3 1 -3 4 -2 3 8 3 -1 - 3 8 -2 1 0 1 -1 -4 - 3 -3 -1 3 9 3 8 -3…

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Q: Express the quadratic form (c₁r1 + c₂2+...+Cnn)² in the matrix notation TA, where A is symmetric.

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Q: Find the matrix of the quadratic form associated with the quadratic equation 3x2 − 16xy + 3y2 − 13 =…

A: The given quadratic equation is 3x2-16xy+3y2-13=0. We have to find a matrix.

Q: Perform elementary row operations to transform the matrix [2 3] 5 6 into the identity matrix.

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Q: (4) Solve the following separable differential equation: dy(x) = 9 – y², y(0) = 1. dx

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Q: solve by finding an inverse matrix 2x+y=6 x+2y+z=12 x-y-z=-5

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Q: List the pivot columns of matrix A = 1 -4 0 3 1 -9 2 -3 -6

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Q: Suppose that  |A| + |B| = |A + B| , find a 2x2 matrix for A and B

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Q: The eigenvalues of the coefficient matrix can be found by inspection or factoring. Apply the…

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Q: Write x = -t³x2, x, = 4t³x2 in matrix notation. Solve and write the solution in matrix notation.

A: We are given a system of nonlinear first order differential equations : x1' = -t3x2  and  x2' =…

Q: ? 3x1 – 2x3 4x1 х — Xә + хз X1 ? ? ? X2 ? ? ? X3 ||

A: We have to fill the missing entries of the matrix, assuming that the equation holds for all values…

Q: 1. Mike has 19 coins (nickels, dimes and quarters) in his sock drawer with a total value of $2.35.…

A: As we know that nickels( x ) = 5 cents Dimes( y ) = 10 cents  quarters( z ) = 25 cents there are 19…

Q: Use row operations to change the matrix to reduced form. [::] 111 13 45 8 26 111 13 458 26

A: Given augmented matrix is 1111345826. We have to reduce the matrix  1111345826 into row reduced…

Q: Approximate proju and projw. -8 -7 -6 -5 -4 -3 -2 -1 proj u 5.491 projw 4.801 = vector u vector w -5…

A: Given thatWe have to approximate Projwu and Projuw.We know that

Q: D = A= = Γ1 0 0 0 01 00 00 10 00 4 π 0 √2 23140 3 0 1 1 E = 27 0 5 0 0 0 √2 0 00 10 001 F = [100 0]…

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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: Here A represents a 2 x 2 matrix

A: Given : A is a 2×2 matrix and A has the repeated eigen value λ with two linearly independent eigen…

Q: Write down the 4×4 3D matrix to move by(xm,ym,zm).

A: A 4 by 4 Matrix 3D matrix used for the purpose of representing the given vectors is called…

Q: 6. Let A be a 2x 2 matrix such that (a) The above equations can be written in the form A -1 0 -1 0 B…

A: The objective is to find the matrix B. heck whether the matrix B is diagonalizable or not and also…

Q: The vectors 3 -4 u = -7 = 12 w = -8 -23 + k are linearly independent if and only if k #

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Q: State the next elementary row operation that should be performed in order to put the matrix into…

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Q: Give an example of a 3 × 3 matrix with real inputs that is not similar to a matrix diagonal

A: A matrix is said to be a diagonalisable  if it is similar to a diagonal matrix. Therefore we need to…

Q: Write down the quadratic form that corresponds to the following 4 -1 -3 -3 1 324

A: The given matrix is, A=3242-1-34-31. The quadratic form of the matrix A is Q(x)=xTAx, where…

Q: 1 -2 3 -2 1 2 -4 -2 4. 4,

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Q: Provide the symmetric matrix that generates the following quadratic form Q(x): x+2x+3x3 + x₁x2 - 2X1…

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Q: 4 2 131 10 |-2 L-1 7

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Q: Persamaan linter. 2 0 1 1 0 1 4 011-5 awab : X₁ X2 X3 X4 3 1 6 16

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