Use the algorithm for finding A¹ to find the inverses of the matrices shown to the right. Let A be the corresponding nxn matrix, and let B be its inverse. Guess the form of B, and then show that AB = I. ON 0 0 1 12 12 12 0 = 12 12 12 (Type an integer or simplified fraction for each matrix element.) 12 0 0 12 12 0 12 12 12 and 12 0 12 12 0 12 12 12 0 12 12 12 12 00 NO 0

Q: Find the inverse of this matrix

A: We will use the formula  With a=3, b=1, c=5, d=2

Q: Find the following matrices where A = a. A+B b. A-B 47 c. - 5A and B 39 d. 2A + 3B

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Q: Let x1, x2, x3, and b be the column matrices.Find constants a, b, and c such that ax1 + bx2 + cx3 =…

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Q: Use row reduction to find the inverse of the given matrix if it exists, and check your answer by…

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Q: - Use the fact that if A= A ab (8) cd OA. -1 then A = 1 ad-bc d <-C OB. The matrix does not have an…

A: Use the fact that We have to find the inverse of the given matrix also we have to  check that AA-1 =…

Q: a. L 0 -3 -2 1 -4 -2 1 -3 4 b. 1 0 -1 -3 2 1 2

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Q: Find the inverse of the matrix A, if it exists. A = 02 -507 050]

A: By Adjoint method ; A-1=Adj AA____(1)Here cofactor matrix of A is, =-350-25100014-1010 Adj…

Q: 2. Compute both AB and BA for the following matrices, and observe that AB + BA: -1 [] B= B-[83] and

A: To compute AB and BA for the following matrices, and to observe that .

Q: Find the inverse of the matrix if it exists, A= 2 4 1 -1 1 -1 1 4 0

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Q: Find AB. tep 1 Perform the matrix multiplication by using the row-by-column multiplication…

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Q: = Compute the adjugate of the given matrix, and then use the Inverse Formula to give the inverse of…

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