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

Q: find the elelment in the 3rd row and 1st column of the matrix cofactor 7 2 5 3 1 4 1 2 1

A:

Q: Find all the values A such that the given matrix is singular. A = l [7 -1 2 14 4 – 2l

A: Consider a square matrix A. Then the matrix A is said to be singular if and only if its determinant…

Q: 8. Find a, b and c such that the matrix a V2 V2 A = |b

A:

Q: decide whether or not the given matrix A is diagonalizable. If so, find an invertible matrix S and a…

A: We know that a square matrix A of order n is diagonalizable if it has n distinct eigen values. Given…

Q: determine whether the given matrix A is diagonalizable. Where possible, find a matrix S such that…

A:

Q: Find a matrix B such that AB = I, where 4 1 1 0 A = and I = -4 4 1 a b Hint: Let B c d B =

A:

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

A:

Q: determine whether the given matrix A is diagonalizable. Where possible, find a matrix S such that…

A:

Q: Use the given information to find A. A-1 [$3 4 5 5 12 NOTE: Write the elements of the matrix…

A: Topic = Matrix

Q: Find the echelon form of this augmented matrix, written so there are 1's on the diagonal. 1 -2 100…

A:

Q: Find x such that the matrix is singular. X 3 A = -7 2 X =

A: Singular Matrix - A matrix is said to be singular if and only if its determinant is equal to zero.

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

A:

Q: Determine whether the matrices are similar. If they are, find a matrix P such that A = P−1BP.

A: Consider the given matrix: Here the objective is to determine whether these matrices are similar or…

Q: determine whether the given matrix A is diagonalizable. Where possible, find a matrix S such that…

A:

Q: Which of the following is the LU-factorization of the matrix a) 1 b) 0 1 1 c) d)

A:

Q: Matrix A: 1 3 4 6.

A:

Q: Find values of a for which the following matrix is not invertible: 1 a + 1 4] 2

A:

Q: determine whether the given matrix A is diagonalizable. Where possible, find a matrix S such that…

A: Consider the given matrix, Find the eigenvalues of matrix A. λ1=4,  λ2= i, λ3 = -i The eigenvector…

Q: Find a matrix A to safisty the following equation: -1 (AT – 5 2 3 1

A: to find the inverse of 2*2 matrix, the formula is

Q: Use the matrix P to show that the matrices A and A′ are similar.

A:

Q: Find the specified change-of-coordinates matrix. Let B= {b1, b2) and C= {c, c2) be bases for R?,…

A:

Q: Find the SVD of the matrix: 1 2 34 A = 0 0 0 0

A:

Q: Are the two matrices similar? If so, find a matrix P such that B = P-'AP. (If not possible, enter…

A:

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

A:

Q: For the given matrix, find an orthogonal matrix P and a diagonal matrix D such that P'AP = D. (Enter…

A:

Q: Diaganolize the following matrix. 1 0 6 -1 0 O 0 0] P D = P-1

A: Calculating eigen values and eigen vectors For eigen values 4-λ-106-1-λ000-λ =0 -λ(λ-2)(λ-1)=0 λ1=2…

Q: Determine the cofactor C32 of the following matrix: 3 3 1. 1 -4 1 -3 5

A: Our Aim is to determine the cofactor C32 of the matrix given below:-33110-41-35 -(i)

Q: Find the matrix E so that EB=C, where a, a, a, B= b, b, b, & C= 1 а, а, 0 8, 8,

A: Given that the matrix B ad C To find the matrix E so that EB=C with a1 is not equal to zero.

Q: Express the column matrix b as a linear combination of the celumns of 4. (Use A, A» an A = b =

A: We will use three colums of A as A1, A2, A3 and then solve it in step 2.

Q: Find a matrix B such that AB = I, where [ ] 8 1 1 0 A = and I = -8 8 0 1 1 a b Hint: Let B = %3D c d…

A:

Q: Find all the values of k for which the following matrix will be singular. 1 1 -1 0 k -2 k 3

A: A matrix is said to be singular if its determinant is 0.

Q: Find the cofactor matrix of the following matrix 1 0 1 A = 4 -2 5 1

A:

Q: Are the two matrices similar? If so, find a matrix P such that B = P−1AP.

A:

Q: Find the matrix A given that -1 2 (I, +2A) 4

A: Let Matrix X=-1245 Here, given that ⇒(I2+2A)-1=X ⇒(I2+2A)-1-1=X-1⇒(I2+2A)=X-1…

Q: 1 2 7 8 17 4 3 DE ON 5. 7. 8. %3D 17 4 3.

A: If third column is linear combination of first two column then we write it as      a•first…

Q: determine whether the given matrix A is diagonalizable. Where possible, find a matrix S such that…

A:

Q: Drow the digraph represented by the adjacency matrix 1 ㅇ 1 0- ㅇ ㅇ 1 ㅇ 1 ㅇ ㅇ 1 1 0 0 0 10 0 0 1 0 0 0…

A:

Q: For each given symmetric matrix A, find a diagonal matrix D that is congruent to A.

A: For each given symmetric matrix A, find a diagonal matrix D that is congruent to A. (a) A=-100011011…

Q: Find the matrix A such that 1 0 A = -1 -2 9. 7 11 a b Hint: Let A = c d A =

A: If two matrix are equal then all elements of matrices are equal. In this question first we find…

Q: Find all possible choices of c that would make the following matrix singular:

A: For a singular matrix, the determinant value has to be equal to 0. |A| = 0

Q: Find the adjoint matrix of A and then find the inverse 1 1 2 A = 1 3 -1 0 4

A: Solution: The objective is to find adjoint matrix and inverse matrix

Q: Find QR factorization of the matrix, if possible. 1 2 -2 1 1 1] 18 01 20]

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer one question at a…

Q: Are the two matrices similar? If so, find a matrix P such that B = P-'AP. (If not possible, enter…

A: Two matrices are similar if they have same Eigen value  A=100020003 Find the Eigen value of A…

Q: O Prove that if a matrix A satisfies A² = A, then I — 2A = (I — 2A)−¹.

A:

Q: Are the two matrices similar? If so, find a matrix P such that B = P-!AP. (If not possible, enter…

A:

Q: * For the matrix shown, calculate 3 2 A , where A = -1 4 1 1 1 6 3

A:

Q: Find the adjoint matrix of A and then find the inverse 1 -1 A =| 2 1 1 2 4 ] | 2. 3

A:

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.