ai1 a12 is the matrix: a22 a21 (4) The adjugate of a 2 x 2 matrix A: -a12 a22 adj (A) a11 -a21 (a) Show that adj(A)A A adj(A) det(A)I2.

Q: Determine the inverse matrix of matrix С. -2 3 C = -2 8 Enter your answer by filling in the boxes.…

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Q: State the quadratic form of a general multivariate function in two variables and give the matrix…

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Q: matrix 4 0 2 7 6 3 1 5 A = and B 3 7 1 5 then A.B and (A.B)" = ...

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Q: 0-1 *b. Construct a matrix whose column space contains1 and 1 and whose nullspace contains and or…

A: THE REQUIRED MATRIX IS A

Q: |3 1 2 - Transpose of the Matrix 2 -1 2 |-1 2 3 1 2 -1 -2 2 -1 a. C. -2 -1 3 -2 3. 2. 1 -1 -1 -2 0…

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Q: matrix product AB, if it is defined. 1],B= -1 undefined. 1 -8 4 40 -22 2].

A: We want to find the product if possible.

Q: Determine the inverse of a matrix A = -2

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Q: 3. Diagonalize the matrix A = 1 -3 3 3 3 -5 -3 3 1 if possible.

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Q: Qd1= ao+a1P1+a2P2 Qs1= bo+b1P1+b2P2   Qd2= αo+α1P1+α2P2 QS2=β0+β1P1+β2P2     Write out the…

A: Here, the equations are: Qd1=a0+a1P1+a2P2Qs1=b0+b1P1+b2P2Qd2=α0+α1P1+α2P2Qs2=β0+β1P1+β2P2

Q: -1 1 1 -2. -2 8. -8

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Q: 6. Find the inverse of the matrix if it exists by using elementary row operation, 2 4 1 A--1 1 -1 4

A: Given: A=241-11-1140 Since, A=IA where I is a 3×3 identity matrix. Therefore, we have:…

Q: 2 -1 5 2 A-(²3 -3²), B- (₁₂²) 0 4 -1, 2. 3X + B = 2A; where: Determine matrix X. A=|

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Q: Express the matrix and its inverse as products of elementary matrices.  A=[1,0,−2; 0,4,3; 0,0,1]

A: Given matrix, A=10-2043001 The objective is to express the matrix and its inverse as products of…

Q: 4. Matrix models can be used to describe the flow of certain toxins , like lead, between…

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Q: 1 Give an expression for solution of the matrix • Given a 3x3 matrix a b c A = def g h i

A: Given, a 3×3 matrix A =abcdefghi

Q: Matrix Given A=  3 −1                 −3 1 compute 4A

A: Given that  Matrix A  To find the 4A

Q: State the dimension of the matrix.   −3 3 7 0   0 1 14 6

A: Given that, the matrix is          -337001146 Here, the number of rows are 2.   &  the number of…

Q: A rectangular matrix is a matrix which number of rows equal to number of columns Select one: O True…

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Q: -2 -1 -3 1 Determine the rank of the matrix 1 0 1 -1

A: Rank of the matrix

Q: Diagonalize the matrix 1 -1 A = -2 3 -1 -2 In other words, you need to find a diagonal matrix D and…

A: Here we find diagonal matrix D and invertible matrix P

Q: a) ir(A - 1)1- ( -2) %3D Find the matrix A

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Q: 1 -2 Diagonalize the matrix B 3 -4 ||

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Q: (-1 7 -5 7. Let A = -4 11 -6). Diagonalize A if possible or explain why the matrix A is not -4 8 -3.…

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Q: [2 4 6 Determine the inverse of the matrix A= |2 -3 -4 [3 4

A: We can use the Gauss Jordan elimination numerical method to find the inverse of the matrix.

Q: [2 0° 0 3 2. similar to matrix 1 ? 0 3 Is matrix

A: The matrices A and B are similar if there exists an invertible matrix P such that B=P-1AP

Q: Orthogonally diagonalize the matrix 1 2 2 -2

A: Given,     122-2

Q: Solve the matrix equation -ЗА + 5 -2 [3] = -2A – 4 for the matrix A. Enter all answers in exact,…

A: We will solve the problem

Q: 3 -4 Find the dimension of the matrix 2 4 -2 -5]

A: In the matrix Total number of  rows = 3 Total number of columns = 2

Q: diagonalize the  2x2 matrix 1 0 6 -1

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Q: A = 1 15 -2 3 matrix P and a diagonal matrix - D = PDP-1

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Q: a. Use elementary matrices to factor the coefficient matrix into a product LU. b. Use forward and…

A: Given: 112011-221x1x2x3=322 Let, A=112011-221B=322

Q: snip

A: A=2-3-35

Q: 3 В- 4 Write B and B¯'as products of elementary matrices.

A: Solution

Q: 4.) Determine matrix. 2-3 1 2 -2 6 X the dimension of the

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Q: 3. (30 points) Diagonalize the matrix A = 5 0 1 -1 05 0 0 0 0 4-3 0 -2 0-3 if possible.

A: 5000050000-30000-3

Q: 4] -9 0 -8 1 1 -2 -2 13 Consider the matrix -4 3 -1 2 1

A: let B=1-2-21342-43-90-121-81 claim- to find the right inverse of the matrix

Q: Identify the elementary row operation(s) being performed to obtain the new row-equivalent matrix.

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Q: 3 3 A = -2 -3 -1 1 2 and I is the 3 x 3 identity matrix, then AI = and IA = 4.

A: We will find the multiplication of the matrix.

Q: Find a square root of the matrix 13 0 18 A = -5 0 -6 - -6 -8 In other words, find a matrix B such…

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Q: 2. Diagonalize the matrix: 1 0 -2 1 1 1 -1

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Q: 3) For the matrix [2 1 -1 0 이 2 3 1 -1 4 3

A: The determinant of the matrix can be calculated by expanding along a row or by a column. The best…

Q: Orthogonally diagonalize the matrix 1 -1 -2 A -1 2 -2 3

A: Given:   A = 1-1-2 -120 -203

Q: G1/ Find A of the matrix 3. - 1 6. 3. %3D 2. - 4 2.

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Q: Construct an example of an 3x5 matrix with rank 2: You can resize a matrix (when appropriate) by…

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Q: -7 - 1 1 1 +X3 1 9. X1 + X2 -2 -7 -4 -1 -2 The matrix equation is 4. 3. II

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Q: Determine the size of the matrix. 4 0 5 4 The size of the matrix isx

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Q: (2 -1 5, -2 2,

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.