What is a, if A = 2 4 is a singular matrix ? a Simplify (1+x)(1+x²)(1 – x + x?) in descending order The factors of 2x3 +3x2 - 5x – 6 are

Q: Multiply matrix [1 2 3] by [5 4 2 030

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

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Q: b. -2x+y+6z=18 5x+8 z=-16 3x+2y=10z-3 Write the entries in the inverse matrix as fractions.

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Q: For the following Boolean Matrices, find: A v B, A ^ B, A O B 1 0 1 0 1 1 A = 1 1 B = 1 0 1 0 1 1 10…

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Q: Perform the following operation: 1- -5 4 3] a +a 3 1 4 -a ||

A: Given that we have to the find the product of given matrix

Q: Find the matrix of the quadratic form 2x12 + 3x22 – x32 – 4x1x2 - 2 x1X3 + 6 x2x3 2 2 -1 2 -2 1 (a)…

A: We have to find Matrix of the given Quadratic form.

Q: Is the following statement correct or incorrect: The matrix notation of the quadratic form Q (xı,…

A: Solution : Given 2 variable quadratic form is                     Q(x1,x2)=5x12-10x1x2+x22 We have,…

Q: Find the matrix of the quadratic form 2x,2 + 3x22- x3-4x1x2 + 2 x1X3 + 6x2x3 -1 2 -2 1 (a) 2 3 3 (b)…

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Q: find the matrix of x12+4x1x2+6x2x3+2x32?

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Q: Find matrix X:   3.     6     5     4     -2   *X=     18     49     -20     6

A: The detailed solution is given below Thank you

Q: Write down the (1,2) minor of the matrix 1 -1 3 -1 1 01 45

A: Given A=1-11-101345

Q: , and c

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

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: Express the matrix = [₁,1] - 9 and its inverse as a product of two elementary matrices. A =

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Q: Find the power of A for the matrixA16

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Q: can you put the answer in matrix form

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Q: 2c1 + 2c2 + 2c3 =0, 2c1              - 2c3 =2,c1 -   c2 +    c3 =  6 Write in the form AC = B with 3…

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Q: If A and B are square matrices of the same size, is (A + B)2 = A2 + 2AB + B2?

A: In matrices, the commutative properties are not valid. That is order of the matrices multiplication…

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

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Q: Find a matrix X = R2x2 for which −3 X¹⁹ - -24 12² -36).

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Q: What must be the matrix X, if 2 2X + 3 4 3 8 7 2

A: we have to find the matrix X if 2X+1234=3872

Q: Find the matrix of the quadratic form 2x12 + 3x22 – x3² + 4x1x2 – 2 x1X3 + 6x2x3

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Q: Find a 2 x 2 matrix such that -5 6 +988-0 1 -3 = [1 1

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Q: Give an example example of a 3x5 matrix in BREF where RX=0 has unique solution.

A: The aim is to find an example of  matrix in RREF where  has a unique solution.

Q: Write an augmented matrix for the follo 6x - 5y +z = -9 8x - 7y +z = 7 9y-2z = - 2 %3D %3D

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Q: Consider the matrix product: 2 3. -3 -1 -2 1 H = -2 -1 1 -3 2 -1 0 %3D 0 2 -1 -1 1 2

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Q: Find a non-zero 2 x 2 matrix such that -6 -8 30 40

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Q: 2. (a) Show that both A = 1 1 0 01 1 0 1 1 have rank 2. ? (b) Find P, Q so that B = QAP-¹. and B = 2…

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Matrices

‘Matrices’ is the plural form of the word matrix, and it is basically a spreadsheet in the form of a box. In mathematics, various functions can be carried out with matrices. Generally, a matrix comes in the shape of a square or rectangle. The elements are distributed horizontally in the form of rows, and vertically in the form of columns.