Find the diagonal line matrix P 7 -5 0 4 -1 A = 2 8 -3

Q: . Find the rank of the matrix : 3 2 11 3 4 3 -1 2 2 Find rank of matrix

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Q: Determine if the matrix is nonsingular. Explain. [1 3 21 1 4 l1 -7 21

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Q: Find column rank, nullity, and the nullspace of the matrix 1 2 1 2 5 1 1 0. 3 7 2 2 -2 4 9 3-1 4

A:

Q: Find the matrix A if 21 . 2. 1 3 1 3

A: 21-13A =4213Now we have to find the inverse of the matrix 21-13

Q: B- Find the matrix A :- 3. A + -5 4 1. -1 3.

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Q: Determine the diagonal matrix. 1 -3 -2 0 0 0 4 (1 3 5)

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Q: Find a matrix P that diagonalizes 10 0 A = 1 20 -3 5 2

A: Given matrix is A=100120-352 Since A is lower triangular matrix. So, eigenvalues of A are the…

Q: Write the third column of the matrix as a linear combination of the first two columns, if possible.…

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Q: Determine the matrix C = A + 3B if 12 -8 15 2 -1 1 A =-8 7 10 B =-1 4 6. | 15 10 - 5 1 6 3

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: find an LU factorization of the given matrix.

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Q: Find the matrixx such that 2A + B + X =0 where 1 2 3 -2 A = %3D 3 4 1 5 Select one: a. -1 -2 -7 13

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Q: find an LU factorization of the given matrix.

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Q: Use the specified row transformation to change the matrix. 4 2 12 8 -3 times row 1 added to row 2…

A: The given matrix is: A=42128 According to the question, we need to do the row transformation as…

Q: 4 1 2 5 1 3 - 7 2. 6 14 16 11 1

A: The matrix A can be written as the product of a lower triangular and upper triangular matrix . The…

Q: 10 - 2 -5- -2 2 3. ST 3.

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Q: Determine the order of the matrix. 2 5 -4-4 6 1A) 3 × 2 B) 2 × 3 C) 6 D) 3

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Q: Q3. Diagonalise the matrix [A]. - 5 -6 6. [A]= -9 -8 12 -12 -12 16

A: To diagonalize a matrix. The following steps are to be followed. To find the characteristic…

Q: (b) Find the LU factorization of the matrix: 1 -1 A= 3 -4 -2 | 2 -3 -2

A: The given matrix is                                A=1-1-13-4-22-3-2 We have to find the LU…

Q: Let the matrix A be given by -11 1. -5 0 2. -1 3

A: Given matrix is 10-11 21-50 1-100 0003 To find:  Minor M11 Cofactor C11

Q: Find the matrix A if 42 2 1 A : -1 3 %3D 1 3 A =

A: Given that, 21-13A=4213

Q: Find A of the matrix 1- A = 2. -4 2. 1.

A: The inverse of the matrix A of order n is defined as a matrix B of order n such that AB=BA=I, where…

Q: Determine whether the matrix is symmetric.

A: Now the transpose of this matrix is,

Q: Decide whether the matrix -7 1 4 A = -12 1 8 -10 1 7, is diagonalizable over R. If it is,…

A: -714-1218-1017

Q: Find the transpose of the matrix. 0 1 7 2 -1 2 8 5.

A: Given that  The matrix is  To find the transpose of the matrix is

Q: Find a two-by-two matrix such that: -9 5 1 0 3 5 0 1

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Q: f the matrix 4 3 7 0 51 ¹2 + 3 8 10 8 102

A: Determinant=1757

Q: Find the nullspace of the matrix. 1 2 -2 1 A = |3 - 5 4 1 2 3.

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Q: Find the nullspace of the matrix.

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Q: (A) Determine matrix X, where (AB-31X= B and I: unit matrix A=[3 -2 5 and B=[1 6 4]

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Q: Find an LU-factorization of the matrix : 4 1 2 5 1 2. 3 - 7 6 14 16 11 1

A: Recall: LU factorization by using Gaussian Elimination method

Q: Find the LU-factorization of following matrix. 1 1 2 3 5 4 6 8 1 A =

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Q: add new column [0;0;0] to the matrix a[12 3, 45 6 ,7 8 9]. * Your answer

A: We have to add column [0;0;0] to the matrix a[1 2 3;4 5 6;7 8 9]

Q: Find the rank of the following matrix: 1 1 2 1 1-a 2 2 2-а 6—а 4

A: we have to find the rank

Q: Q3. Diagonalise the matrix [A]. 4 33 [A] = 3 6 1 3 1 6

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Q: Consider matrix [2 1 3 A = 3 -1 [2 1 1 30] Find the input matrix for the output matrix 20 [10]

A: For the given matrix A and b we have to find matrix x such that Ax=b So Input matrix is b and output…

Q: Determine the matrix A x 1, if A=(13) and 1=(9)=

A: Given A=-1043,     I=1001   To determine: the matrix A×I

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

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Q: B: find A of the matrix 2 1 3 3 2 -1 -4 3 -1

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

A: Solution

Q: Find an LU-factorization of the matrix A 2 11 -6 6 4]

A: Given, A=-21-64

Q: Find the value of c that makes matrix A= defective Select one: а. 1 b. -2 C. 0 d. 2

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Q: Find the matrix A if 2 1 A = 4 2 %3D -1 3 1 3 B3: A =

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Q: State the dimension of the matrix. 19. -9 5 6 0 0 2 14 5

A: Since you have asked multiple questions in single request  so we  will be answering only first…

Q: Find column rank, nullity, and the nullspace of the matrix 1 2 1 0 2 5 1 3 7 2 1 2 -2 4 9 3 -1 4 |

A: The nullity of a matrix A is the dimension of its null space: nullity(A) = dim(N(A)). It is easier…

Q: Find the matrix A if 4 1 A -1 3 2 3 1 4

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Q: Find the rank of matrix 1        3 0       -2 5       -1 -2       3

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

A: Given:   A = 1-1-2 -120 -203

Q: Diagonalise the symmetric matrix A = 4 2 2 2 4 2 2 2 4

A: Given symmetric matrix is  We have to diagonalise the above matrix. First we will find the…

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

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Q: Q5. Diagonalise the matrix [A]. 4 3 3 [A] 3. 6. 1 %3D .3 1 6.

A:

Percentage

A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.

Algebraic Expressions

In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.

Numbers

Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.

Subtraction

Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.

Addition

Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.