find the twelfth pawer X of the matrix X that satusfies the Equation 12 X A = AD

Q: Show that there is no matrix A E M250x250 with real entries satisfying AAT = -I.

A: Given that A is real ( All entries are real)  square matrix of order 250×250. The trace of any real…

Q: • The Matrix B from 3 x 2 at by = 1- is 1. 3. 4. 1 -2

A:

Q: a) If a 7 × 5 Matrix A has rank 2, find dim(Null A), dim (Row A) and rank AT

A: 1) Given  7×5 matrix  rank(A)=2 using rank nullity theorem we have rank A + null A= number of…

Q: Construct a 2 x 3 matrix A such that the solution set of the equation Ax = 0 is a line in R3.

A: a)       Result of a system with 2×3 coefficient matrix is a line when system has one free variable.…

Q: Find a (2x2) singular matrix A that maps (2, 4) into (3, 1).

A: Singular matrix mean its Determinant is equal to 'zero' .

Q: Find the singular values of the given matrix.

A:

Q: Verify that if r < s, then rows rand s of a matrix can be interchanged by performing 2(s - r) - 1…

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Q: 5.)Write the aua mented matrix for the syshem X, +2X,-X, tXc =l =マ+ t bulo

A: We have to solve given problem:

Q: The output matrix is X: (Round HooimaL

A:

Q: Find an SVD of the indicated matrix.

A:

Q: Find a 2 x 2 orthogonal matrix P whose first row is a multiple of (a) (3,–4), (b) (1,2).

A: Result: Rows (columns) of an orthogonal matrix are an orthonormal basis. Hence, each row (column)…

Q: Find a matrix P that diagonalizes A- 6.

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Find a regular matrix P and a diagonal matrix D such that A=PDP-1. A10=?

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Q: Find the charo cteristica poly no nomi the matrix A = 3. 3. /- P(x) = 1.

A:

Q: Determine the rank of the following matrix. 0 3 5 -4 0 1 0 0 -1

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Q: Find a matrix A such that [is: is a solution for AX=X'.

A:

Q: -1 13 9 6 7 3 2 9 5 16 11

A:

Q: Find the range of a (2 × 3) matrix B with rank(B) = 2

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Q: Find the innverse of the matrix b: 5 0 6 9 1 2 3 4 9 3 5…

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Q: Find the singular values of the given matrix.

A: To find the singular value s of the matrix

Q: if A is m xN matrix pivot in every row, then Ax-b has that has a a unique solution for each b in Rm

A: The given question can be solved as shown in step2.

Q: Consider the matrix A Calculate A¹00 if = (-5,-4,5). 1 6 2 -1 0

A: Introduction: The power of a matrix is very significant in matrix calculations. It involves the…

Q: 1 1 -1 6 A : -2 3 2 -4

A:

Q: ind the 3x3 matrix that is equivalent in it's action to each of the

A: Given: To find 3×3 matrix that  equivalent to the symmetry operators are, a  S^2zb  C^2z

Q: Use the method of Example 6 to compute the matrix A10, where 1 0 6 2 A =

A:

Q: Find the singular values of the given matrix.

A: Given matrix

Q: Show that the matrix A = singular. 1 -2 3 4 0 5 0 is 60

A:

Q: Use the method of Example 6 to compute the matrix A10, where 1 0 A = -3 2

A: The given matrix is A=10-32. Observe that, A2=10-32 10-32=10-94=10-3·22-122A3=10-94…

Q: Find the value of x so that the matrix is not invertible. 1. 3 2 0 [ 1 2 1 If answer is in decimal,…

A:

Q: Determine all the n × n− matrix A with the range such that A2 = A.

A: Clearly the zero matrix and identity matrix are the trivial examples of our problems. However there…

Q: The order of the single matrix obtained from 1 1 -1 To 1 23 is 1 0 21 -1 0 2 2 0 3 2 (a) 2 x 3

A: Here the order of the matrix needs to find out for both terms. Subtraction and addition won't affect…

Q: Find the matrix P that multiplies | y| to give P = א א

A:

Q: Find the inserve if it exists, of the following matrix. 1 2 1 1 1 2

A: The give matrix  is, 1 1 -1 2 -1 1 1 1 2 The determinant of the above  matrix is,…

Q: (Find the invers of the following matrix (If exists

A:

Q: What is the linear combination of the matrices аnd

A: The explanation are as follows

Q: 4 Is the matrix a linear combination of the ma- 3 and 1 ? Justify your answer. trices

A: A matrix A can be expresses as a linear combination of two matrices B and C, if and only if there…

Q: If the rows of an mxn matrix A are linearly independent and Ax=b is consistent then it has unique…

A:

Q: Suppose that Q is a matrix with the property Q−1 =QT . Show thatqij = Qij/det(Q)

A: Given: Q-1 = QT To Prove: qij = Qij/det(Q) Formula Used: If A is a square matrix, then its inverse…

Q: Find SVD for the matrix A=[1 2;2 1].

A:

Q: I1,I2,I3 of th

A: Here we have;  11I1+4I2+3I3=-4-15I1+4I2+4I3=163I1+4I2+17I3=3 let;  AX=B  where  A=1143-15443417,…

Q: O Find the transforma tion matrix that wotates the axis X of a rec tangu lar coor dinale system 60…

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Q: independent

A:

Q: Find the singular values of the given matrix.

A:

Q: find the single matrix equal to the following

A: To find single matrix, we have to multiple the given matrix.

Q: Find matrix C

A:

Q: Find a 3x1 matrix X with entries not all zero such that AX = X , where [1 0 -1] A =1 0 1 4 -4

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Q: Find the LU factorization of the following matrix: |2     0   0| |0   −3   1| |10  12  3|

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Q: (b) Compute the covariance matrix of the data given by x1 = [2 1]', x2 = [3 %3D x3 = [2 3]'and x4 =…

A: To answer the given question we shall use the following formula :  Let X and Y be two random…

Q: 1) Find a diagonal matrix A that satisfies A-2 20,

A: Here, we need to find a diagonal matrix A such that A-2=2004

Q: Find an elementary matrix E that corresponds to the row operation of subtracting – 6 times Row 1…

A: Applying elementary row operation on identity matrix I we get the elementary matrix E.Now we find 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.