(a) Show that if A, B,C are matrices such that A has an inverse and such that A- B = A · C then B = C (b) The situation is different if A does not have an inverse: Consider 2 -2 Show that A has no inverse and find two matrices B and C with A - B = A · C but with B + C.

Q: Q4: Using Cayley - Hamilton theorem to find the inverse of the matrix A, where 1 1 2 A = 3 1 1 2 3 1

A:

Q: Find inverse of matrix A by Gauss-Jordan method. [2 -1 21 A = 2 1 [3 1 2]

A:

Q: Find the inverses of the matrices or show that they do not exist. -5 -3 1 -2 A B= = 1 6 = 2 -3

A:

Q: 5. Consider the matrix 3 -1 3 0 0 1 0 A = 1 2 (a) Find A-1, the inverse matrix of A by using your…

A:

Q: Find the inverse of the matrix (if it exists).

A: Now,

Q: The inverse of a matrix A is written as A- such that AA-1 =A-A=

A: Clearly we know that, AA-1 = I.

Q: b) Find the inverse, if it exists, of the following matrices: [0 -2 -3] 1 2 3 1 2 -1 [ 3 (i) 2-1…

A: Note: As per company guidelines we are supposed to solve only 3 subparts of the question. So, kindly…

Q: 4. A = 1 1 1 2 1 -1 1 3 1 -1 2 2 1 32 1

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Q: Find the inverse of the matrix (if it exists).

A:

Q: A product of invertible n × n matrices is invertible, and the inverse of the product is the product…

A: Note: As per bartleby instruction when more then three questions for subpart is given only three…

Q: 12. Find the inverse of the given matrices or determine that the matrix is singular: (a) A = 6 l:…

A: For singular matrix determinant is zero And inverse is not possible

Q: b. Determine the inverse of the following matrix if it is invertible; (1 3 2 C = 4 1 2 3 1 %3D 1

A:

Q: Use the Gauss-Jordan method to find the inverse of the given matrix (if it exists)

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

A:

Q: Give an example of  a matrix which is its own inverse ( that is , where A−1=AA−1=A)

A: To give the example of the matrix whose inverse is matrix it sef. That is: A-1=A

Q: The inverse of a matrix A is denoted by A-1 such that the following relationship is A A-¹ = A-¹A = I…

A:

Q: Use the Gauss-Jordan method to find the inverse of the given matrix (if it exists).

A: Given: -243-1

Q: 3. (a) Use a method based on augmented matrices to compute the inverse of [1 0 0 0] 2 2 0 0 M 3 3 3…

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Q: Express A and A-1 as a product of elementary matrices. 0 5] A = 0 1 6 1 0 3] [1 0 5] 0 31

A: Here in the given question matrix A is given and objective is to express A and A-1 as  a product of…

Q: Find the inverse of matrix A = 1 1 1 1 1 -1 1 -2 3

A: Given that  The matrix  To find the inverse of A

Q: Consider the following matrix. -2 1 1 A= 0 -2 1 1 -1 0 Choose the correct description of A. -1 Find…

A: The given matrix is A=-2110-211-10. Obtain the determinant of A as follows. A=-2110-211-10…

Q: Let 1 1 -2 1 2 3 | A = 1 4 and B = -6 -2 -3 - -3 2 1 -1 -1 | Find the inverse of the matrix A + B –…

A: Let's find.

Q: Find the inverse of the given matrix if the matrix is invertible 3 4 -1 1 0 2 5 -4 [1 0 1' 0 1 1 1 1…

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Q: Use Gauss-Jordan to find the inverse of the matrix A given by -3 0 0 2a b a A = 10 0 2 What are the…

A: Gauss Jordan’s Matrix Inversion method. In this method we shall find the inverse of a matrix…

Q: Express A and A- as a product of elementary matrices. [1 0 51 A = 0 16 li 0 3

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Q: Show that AB and BA are not equal for the given matrices. 1 1 1 1 5 2 2 2 A = B = 1 1 1 1 2 5 АВ ВА

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Q: b. Determine the inverse of the following matrix if it is invertible; (1 3 2 C = 4 1 1 1 2 3

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Q: Find the inverse of the matrix A using row operation if A is a non-singular matrix, where, [1 3 -2]…

A: A=13-223001-1

Q: verify that the matrix B is the inverse of the matrix A. - 3 -1 A В %3D 3 -4 [ 1 1 -1 0] -1 2 B =1…

A: (1).  The given matrices: A=112232          and        B=  3-1-4   2

Q: Determine the inverse of matrix C. -1 1] C =|0 -2 -3 o] -2 1

A: Consider the following matrix: C=1-110-21-2-30 Determinant of matrix:…

Q: Find the inverse of the matrix (if it exists). (If an answer does not exist, enter DNE.) 3 1 2 2 1 2…

A: Explanation of the answer is as follows

Q: .

A: Given : A2164* Express A-1 as product  of elementary matrices * Expresss A as product of…

Q: 11. Determine if the matrices are inverses of each other by multiplying the matrices. A- and B yes…

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Q: Find the inverses (in any legal way) of the matrix A, where 3 -2 A = 1 if it exists. -1 -1 1

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Q: If A and C are non-singular matrices, then show that A 0 A-1 C-BA-1 C1 1 0 0 0 0 2 0 0 3 0 4 0 1 0 3…

A:

Q: Find the inverse of the matrix A using row operation if A is a non-singular matrix, where, 1 -1] A…

A: NOTE:We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: . If A and C are non-singular matrices, then show that A-1 - C-'BA¬1 C A 0 B C 1 Hence find inverse…

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Q: Use elementary matrices to find the inverse of

A:

Q: If A is a 2 x 2 matrix a b A = c d then A is invertible if and only if ad - bc + 0. Verify that the…

A: Note: A square matrix A is invertible or non-singular if and only if det(A) is non-zero.  If A is…

Q: Let A and B be square matrices. Show that even though AB and BA may not be equal, it is always true…

A: Given : A and B are square matrix

Q: Show that if a matrix A has an inverse A-, then in fact A-1 has an inverse as well

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Q: Find the inverse of the given matrix if the matrix is invertible 1 0 0 1 1 1 1 0 0 1] [3 4 -1 1 0…

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Q: -2 1 -1 1 -1 1 3 (a) does the inverse of the matrix exist? Your answer is (input Yes or No): Are the…

A: The inverse of a matrix is said to exist if and only if the determinant of the matrix is non zero. A…

Q: ". (^) ", (2)". Use the inverse matrices to find (AB and ( 2A -2 1 2 4 2 2 3 1 A-1 1 1 1 %3D B-1 %3D…

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Q: 2. Find the Inverse of the matrix A-1 (If it exists). 1 3 47 A-1 |-2 1 3 2 |

A:

Q: . If A and C are non-singular matrices, then show that A 0 A-1 В С, - C-'BA-1 C1 0 0 0 0 2 0 0 3 0 4…

A: To show the below statement if A and C are non-singular matrices. AOBC−1=A−1O−C−1BA−1C−1 To find the…

Q: Let matrices A and B¯' be the inverses of matrices A and B, respectively. Show that (AB) = B-'A"

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Q: Find x such that the matrix is equal to its own inverse.

A: Given: A=2x-1-2 we know that inverse of any 2×2 matrix A=abcd is given by A-1=1Ad-c-ba

Q: Give an example of  a matrix which is its own inverse ( that is , where A^-1=A)

A: We have to give an example of  a matrix which is its own inverse where A-1=A take A-1 on other…