If A is the 2 × 2 matrix given by a b A = c d and if ad – bc # 0, the inverse is given by 1 I d -b A-1 ad – bc a Use the formula above to find the inverse of the 2 × 2 matrix (if it exists). (If an answer does not exist, enter DNE in any single blank.) 4 5 -1 6

Q: Find A-1 by forming [A|l] and then using row operations to obtain [I|B], where A 1 = [B]. Check that…

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Q: 13 Given the matrices A = - B 1 -1 3 4 the matrix X in the equation A (X + 3B) = C. X = 2 and C= -3…

A: A=111-1, B=1334 and C=-3032

Q: a b d - b -1 Use the fact that if A = , then A c d = 12 and A 'A=12. to find the inverse of the…

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Q: Given matrices A and B, find AB and BA.   Show all work. Are they equal, and why or why not?…

A: we multiply row with column

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A: We have to find the matrix

Q: If A is the 2 x 2 matrix given by a b A = and if ad - bc # 0, the inverse is given by 1 d -b A-1 =…

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Q: Consider the matrices 4 2 1] 5 4 B = 2 2 3 1 A = X = -3 0 1 2 0 8 Which of the following matrix…

A: We have  Matrix multiplication AB defined only if Number of columns of A = Number of rows of B

Q: Given the matrix 3 2 1 -1 1 -1 1 2 (a) does the inverse of the matrix exist? Your answer is (input…

A: a) Yes  b)

Q: If A is the 2 × 2 matrix given by a b A = c d and if ad – bc # 0, the inverse is given by 1 d -b A-1…

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Q: If A is the 2 × 2 matrix given by a b A = с d and if ad – bc + 0, the inverse is given by 1 d -b A-1…

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Q: Solve for the inverse of the given matrix by definition A*A1 = A 1*A = | 1 7 -5 |A| -2 -3 6. %D 4 8…

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Q: The addition of matrices shown below gives: Гз 7 27 10 0 and [5 3 4] Г2 47 Li 3] А. Зх3 matrix B. 3…

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Q: In the process to determine the inverse of a matrix, you will come to the following matrix…

A: Given system of matrix is: 103-113-211100010001→103016017ABCDEFGHI By solving this:…

Q: If A is the 2 × 2 matrix given by - [::] a b A = c d and if ad – bc # 0, the inverse is given by d…

A: Solution-  Matrix given 4   -6 -2   3 So here a = 4, b= -6, c= -2, d=3 So it is given that  If ad…

Q: When solving for matrix X in terms of the other matrices A and B given the equation below, X is:…

A: 12AXB+A=2A-B

Q: If A is the 2 × 2 matrix given by a b A = and if ad – bc + 0, the inverse is given by d -b A-1 = ad…

A: If A=abcd then A-1=1ad-bcd-b-ca ; ad-bc≠0.

Q: Use the formula A-1 = to find the inverse of the 2 x 2 matrix, if possible. (If an answer does not…

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Q: Consider the three matrices A = (b) 2 -1 1 0 -1 2 94-1 B = 2 y and C = −1 multiplication is…

A: The objective of the question is determine sizes if possible and evaluate the values x,y and z.

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Q: By using the inverse formula, find the inverse of the 2×2 matrix (if it exists). -12 3 a. 5 b. 7 2 1…

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Q: For square matrices A and B, which of the matrices below are equal to AB? II. (AªB"} I. a. I only b.…

A: Solution

Q: 3 Find x such that the matrix B = is -2 -3 equal to its own inverse. а. 4 с. 9 b. 6 d. 10

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Q: For what value of k does the following matrix A not have an inverse A!? k 4 1 A = 2 2 [1 6 0] O a. k…

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Q: If A and B are similar, then there exists a matrix P such that B* = P A*P. Use this fact to find B",…

A: i have just used the information given there in your example

Q: Assume that A, B, and C have matrix inverses but X, Y, and Z do not. In the following questions,…

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Q: If A is the 2 x 2 matrix given by a b A = c d and if ad - bc 0, the inverse is given by A-1 = d -b…

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Q: Use the formula A-1 = O -2 -9 1 d ad-bc-c to find the inverse of the 2 x 2 matrix (if it exists).…

A: If A=abcd is a 2×2 matrix then A-1=1ad-bcd-b-ca Given matrices are - a. -2-929 b. 3-125

Q: If a square matrix A satisfies 4 – 24 – 71 = 0, which of the following is equal to A1? A) (81+ 4²)…

A: Given,            The square matrix A sarisfies A3 - 2A - 7I = 0

Q: If A is the 2 × 2 matrix given by a b A = and if ad – bc # 0, the inverse is given by 1 d -b A-1 ad…

A: The matrix given is:-3212-5To find inverse

Q: 4) Given the matrices A and B below, find: a) AB b) BA c) Are the matrices A and B inverses of each…

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Q: [2 3 Find the inverse of the matrix: A = |3 1 4 3 6 %3D Answer: 3.

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Q: by forming [A | ] and then using row operations to obtain [I | B], where A -1 [B]. Check that AA1=I…

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Q: 9. Apply the indicated operation to the matrix, then choose the correct matrix. - 3R1 - R1 3 1 -9 O…

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Q: Use the fact that if A = a b 1 d -b then A-1 to find the inverse of the given matrix, if possible.…

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Q: Let A be a 3 x 3 matrix, and suppose that the matrix B is obtained from A by the following row…

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Q: If A is the 2 x 2 matrix given by a b A = с а and if ad - bc # 0, the inverse is given by d -b A-1 =…

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Q: Given three matrices 1 A (3) 05 02 c-(; 3) C = 1 1 1 D -(0) Determine the matrix B such that (A + B)…

A: Matrix B is found by comparing entries

Q: If A is the 2 x 2 matrix given by a b A = and if ad – bc + 0, the inverse is given by 1 d -b A-1 =…

A: Using the formula, A is invertible.

Q: a. Find the inverse of the matrix if it exists: 15 56 A = -3 -11 -4 -11 -41] -1

A: Explanation and solution is given below....

Q: 4. Given the matrices A and B below, find the value of k so that B = A-'. [1 0 1 k -1 1 A = 1 1 1 B…

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Q: For matrices and 3 -8- -20 B = 8 show that A +B = 1 , 4 where / is the 2×2 identity matrix

A: Given the matrices :

Q: Given the matrix 7 7 25 (a) does the inverse of the matrix exist? Your answer is (input Yes or No) :…

A: Given matrix is 27725. Let A=27725. a We have to check whether the inverse of the matrix A is exist…

Q: 5 ): Consider the matrices A and 4 3 5 В 3 9 o]Find the inverses of A and B, using the definition of…

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Q: Q2: choose the correct answer of the value of the inverse of Matrix (M): * M=[; 1 -2 1 ] 0.5 1 1

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Q: Following matrices Find 2A+3B 3 AB 3 A-B , A+B value 2 1 2 3 1 B= -1 3 3 A= -1 5 -2. 0 -1

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Q: If A is the 2 × 2 matrix given by a b A = c d and if ad – bc # 0, the inverse is given by 1 d -b A-1…

A: Matrix inverse

Q: Perform the indicated operation, if possible.  [3  8   13   1]         [1   3   6   10] [5   4…

A: Note: It is assumed that the first matrix is 3813154-2522010 and the second matrix is…

Q: If A is the 2 x 2 matrix given by A = C. and if ad - bc # 0, the inverse is given by d -b A-1 = ad -…

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Matrices

‘Matrices’ is the plural form of the word matrix, and it is basically a spreadsheet in the form of a box. In mathematics, various functions can be carried out with matrices. Generally, a matrix comes in the shape of a square or rectangle. The elements are distributed horizontally in the form of rows, and vertically in the form of columns.