If A = (ajj) is the matrix of the quadratic form x + 2x, + 2x? + 6x1x2 – 22x1x3 - 8x2x3, then the value of a13 is

Q: Find the matrix A of the quadratic form associated with the equation. 3x2 + 8xy – 2y² – 6 = 0 A =

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Q: If X is an unknown matrix And A and B are known : [A]×[x]=[B]_ 5x5 5×1 [x] = ?

A: Given matrix A is of order 5×5 and matrix B of order 5×1 and A5×5×x=B5×1 We have to find the matrix…

Q: If A = (aij) is the matrix of the quadratic form 7x + 5x, + 2x – 6x1x2 + 12x1x3 – 10x2x3, then the…

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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: Find the symmetric matrix A associated with the given quadratic form.             5x12 -x22 + 2x32 +…

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Q: Demonstrate that A A-1 = A-1 A = I

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Q: Find the matrix A of the quadratic form associated with the equation.x2 + y2 − 4 = 0

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Q: (d) Write down the matrix of the quadratic form Q(x1,x2,X3,X4) = x} +2x3 – 7x3 + xỉ – 4x1x2+ 8xjx3 –…

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Q: Find the symmetric matrix A associated with the given quadratic form.

A: x12-x32+8x1x2-6x2x3

Q: If A and B are matrices 3 x 3 order with 12A| = -1 and |2B³| = 16, then calculate |A-1B"|.

A: Here, A and B both are of the order 3×3. So, A-1 and BT are of the order 3×3. Now, from the…

Q: Find the symmetric matrix A associated with the given quadratic form.

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Q: Find the symmetric matrix A associated with the given quadratic form. x12+ 2x22 + 6x1x2

A: Given: The symmetric matrix A for the general quadratic form is written as follows, By comparing…

Q: Invert the following matrix 3x - 2y = 9 -x + 3y = 3

A: The question is to solve the system using the inverse of the coeffiecent matrix. Here, the…

Q: 4 For matrix A = if g(X) = X2 + 4x + 2, what is the answer to g(A)? 3

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Q: For matrix A = if g(X) = X2 + 4x + 2, what is the answer to g(A)?

A: Here, matrix is,

Q: , and c

A: Given quadratic form is, Here, A is symmetric matrix as,

Q: If A is a square matrix whose diagonal entries are all zero, then detA = 0.

A: Given information: A is a square matrix whose diagonal entries are all zero.

Q: find a non-zero 2x2 matrix such that:    [  -4     7  ]            [  a   b  ]         [  0     0…

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Q: (b) Find a real symmetric matrix C of the quadratic form: Q(x1, x2, x3) = x+ 4x3+ 6x3+ 2x1x2…

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Q: Find x such that the matrix is equal to its own inverse. A = -3 -5 X = 6

A: Given,A = A-1AA-1=IAA = IA2 = IA = 5x-3-5

Q: Find the matrix of the quadratic form. 5x + 3x² + 2x3-8X1X2 + X2X3 Select one: O A. 5 -4 1/27 -4 30…

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Q: Give the matrix associated with the quadratic form 10(x,)? – 5x,x2 +6(x,)².

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Q: Let p(x) = x³ – 2x + 4 and compute p(A). - -- A = -3 2 4 NOTE: Write the elements of the matrix…

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Q: Consider the matrix below A= 3 -2 4 0 -6 7 a 1 2 -2 1 -3 -4 3 1 2 Find the minor and cofactor of a

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Q: Find the matrix A of the quadratic form associated with the equation. 2x2 - 3xy - 2y2 + 13 = 0 2…

A: Hi, Thank you for the question. Since you have posted multiple questions as per the rule we will…

Q: Find the matrix associated with each of the followingquadratic forms: 2x2 + 3y2 + z2 + xy − 2xz +…

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Q: Let p(x) = x³ – 2x + 4 and compute p(A). |2 A = |0 -3 4 NOTE: Write the elements of the matrix…

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Q: (b) Find a real symmetric matrix C of the quadratic form: Q(x1,x2,x3) = xỉ+4x3+6x3+2x1X2+x2x3+3x1x3.…

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Q: Find the matrix A (in terms of B and C) if (3.4T + 4BC )T= 5.4 – 3C A)}(4B"cT + 3C) (B)}(4C"BI- 3C)…

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Q: Find the adjoint of square matrix (A] [A] = 3 -2 3 -4

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Q: Show that if A is a square matrix that satisfies the equation A2 - 2A + I = O, then A-1 = 2I - A.

A: Given that,                    A2-2A+I=0

Q: Find the symmetric matrix A associated with the given quadratic form. x1x2

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Q: The symmetric matrix corresponding to the quadratic form X1 x2 = x} – 2x1x2 + 2x1x3 – 3x + 4x2x3 –…

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Q: Find a non-zero, 2 x 2 matrix such that: -5 -5 25

A: Solution

Q: . If A= is a symmetric matrix, find the value of x. -x+3 4

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Q: For matrix A if g(X) = X² + 4x + 2, what is the answer to g(A)?

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Q: Find the matrix of the quadratic form. 3x; + 4x, + 5x3 - 12x, x2 + X2X3 O A. 3 - 6 - 6 2 3 - 6 4 2 -…

A: Quadratic form and associated matrix

Q: Find the matrix A of the quadratic form associated with the equation. 9x2 - 6xy +9y2 + 24z² - 29 = 0

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Q: An identity matrix is represented by... О а. Нн-1 O b. H-1H О с. Нн-1н

A: If we multiply a matrix by its inverse we get the identity matrix.

Q: Find the nullspace of the matrix

A: The nullspace of the matrix is to be determined, The matrix is shown below as,

Q: Find the matrix B such that 2AT+3B=0.

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Q: Find a non-zero 2 x 2 matrix such that -7 1 35 -5

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Q: Find a matrix A such that 2A-3B+5C=0 -2 Where B= 2 0 3 1 4 [2 0 -2 andC = 7 1 6

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Q: (d) Write down the matrix of the quadratic form Q(x1,x2, 3, x4) = x +2x3 – 7x3 +xỉ – 4x)x2+ &x,x3-…

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Q: For matrix A = if g(X) = X2 + 4x + 2, what is the answer to g(A)? %|

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Q: If A, B, and C are n x n invertible matrices, does the equation C-1(A + X)B¬ = In have a solution,…

A: Given A, B and C are n×n invertible matrices.

Q: Find the symmetric matrix A associated with the given quadratic form.

A: To determine: The symmetric matrix A associated with the given quadratic form. 5 x12 - x22  + 2 x32…

Q: For matrix A if f(X) = X2 + 4, what is the answer to f(A)?

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Q: Show that A is similar to B by showing that A and B are similar to the same diagonal matrix, where…

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Q: If x-11 A = [_x²+3 *7¹] is a symmetric matrix, find the value of x.

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