Find the matrix corresponding to the quadratic form: - Q(x) = 8x² + 7x² − 3x² − 6x₁x₂ + 4x₁X3 − 2X₂X3 What is the definiteness of Q?

Q: 5x +2y -9z 44 -9x -2y +2z 11 6x +7y +3z =5

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Q: Write the following polynomial in simplest form and in standard form x4 -8x + 5x²-7-3x4 - 10x² + 8x…

A: To simplify the given polynomial

Q: Solve for X in the matrix equation 3X + A = B, 6 and B = -2 -12 4 where A = -5 4

A: Given: 3X+A=BA=46-50B=-2-1241 To Find: To solve the given equation for X

Q: Use Cramer's rule (by hand) to find the unique solution of x1 +3x3 = -1 -3x1 +2x3 = 1 2x2-x3=0

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Q: Solve the matrix by using Gauss elimination method x +2z35 3x+4y+2z%3D8 X+3z-10

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Q: Solve by Matrices method

A: Given system of equation is 2x1−x2+x3=8x1+2x2+x3=6x1−2x2−x3=1........1 Now write the the system (1)…

Q: Solve using augmented matrix methods 5x¹-x²=6 15x¹-3x²=-18

A: The objective of the question is to solve the system of linear equations using the augmented matrix…

Q: 2x1 + x₂ − x3 + 3x4 3x1 + C3 – 4 21 – 2 + 3x3 – 54 = = = -3, -2, 1.

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Q: З^1 — 2л2 + 5аз — —17 2x1 + 4x2 – 3x3 = 29 5х1 — 6х2 — 7*3 — 7

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Q: Check the definiteness of the following quadratic form;

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Q: Which of the following quadratic equations is in standard form? (a) x - 7x = 5 (c) (x + 5)(x – 4) =…

A: A polynomial is basically a function, which can either be quadratic, cubic, and so on in which the…

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: Solve using a matrix x - y + 5z = 194x + z = 3x + 3y + z = -9

A: According to the given information it is required to solve the given equations using matrix method.

Q: Solve the system by using the inverse of the coefficient matrix. -3x1 + 9x2 = 9 3x₁ + 2x₂ = 13

A: We need to solve the given system by inverse of coefficient matrix.

Q: Can you solve the following, by using the row(reduced)-echelon form.

A: Step 1:Step 2:

Q: Determine the solutions of each quadratic equation by extracting the square roots a) (Зх — 3)2 — 363…

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Q: Solve using a matrix 4x + 6y = -182x - 4y = 12

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Q: Solve using augmented matrix methods 6x¹+    3x²=9 -4¹-      2x²=-6

A: Answer...The system have infinite solutions.Solution set is ...X1= (3-t)/2X2=t               here,…

Q: Explain why the number of columns in matrix A mustequal the number of rows in matrix B when finding…

A: Consider the provided information, The number of columns in matrix A must equal the number of rows…

Q: Write the system of equations 2x12x2 = 1 7x13x2 = 2 in matrix form. By finding an appropriate…

A: Step 1:Step 2:

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: Prove that 3n² - 1 is never a perfect square.

A: Perfect square: An integer n is said to be a perfect square if n=k.k for some integer k  We now…

Q: (33) -3 2 -1

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Q: Write the system of equations as an augmented matrix + S 5d + 2r 136 4d + 6r 7d 6r - 7s - 6s - - -…

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Q: Solve the system by using Cramer's Rule: 3x1 – x2 – 2x3 = 1 -x1 + 6x2 – 3x3 = 0 -2x1 – 3x2 + 6x3 = 1…

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Q: Solve using matrices: 2x + 3y - z = - x + 2y + 3z Зх + 5у — 2х %3D — 3. 2 %3D

A: Given: 2x+3y−z=−1x+2y+3z=23x+5y−2z=−3 Writing in matrix form, 23−112335−2xyz=−12−3 In echelon form,…

Q: X2 +s 二 13 X4.

A: We have to solve the matrix

Q: 2 -3 -2 3 -2 2 -2 0 -1 3 3

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