Example 4.5. If A and C are non-singular matrices, then sho [BC] = [-CABA-L &] C 100 0 Hence find inverse of 0200 30 40 0 10 3

Q: 1. How would you verify that matrix A1 is the inverse of matrix A?

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Q: 2. Determine the inverse of the matrix. -5 4 -4] 6. A = 1 1 1 -2 -9 3 2 8 -1

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Q: Determine the inverse matrix of 59

A: Given matrix is 1259We know that the inverse of abcd is 1ad-bcd-b-ca

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

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Q: explain why the following matrix does not have an inverse A=√125 352

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Q: Suppose A. B and X are 'nxn matrices such that A and B are invertible, and Which one of the…

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Q: Q4:A. Find the inverse for each the following matrices: 1 3 -21 1. A =|0 -3 21 31 2. A= -1 0 4

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Q: (24)*. Use the inverse matrices to find АВ and 1 3 1 4 2. 4 2 1 A-1 = B-1 = 2. 2 2 4 1 -2 2 4 -1 (a)…

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Q: solve the matrix equation for X -1 1 -1 5 7 8. 3 0| X = 4 -3 1 2 -1 3 5 -7 1

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Q: A car costs x wholesale. The price the dealer pays is given by the function s(x) = = x-1 – 200 where…

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Q: O True

A: True

Q: Let A and B be similar matrices Show that if A? = A then B = B.

A: Two matrices C and D are said to be similar matrices if there exists a non-singular matrix P such…

Q: Compute the inverse of the following matrix 1 -3 5 10 4 7 0 6 -8

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Q: 6. Let A, B, and A+B all be square invertible matrices of the same size. Show -1 that (A+B) = A(A+B)…

A: We need the property (CD)-1 =D-1 C-1  For any two matrices C and D.

Q: The function f(x) = |ax - b| + c|x| : x in (-∞, ol where Find the

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Q: 2. つ

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Q: Find the inverse of the matrix if it exists A-[:] 0 4 1 5 5 4 Option 1 Option 2 5 5

A: Solve for the inverse of matrix

Q: Write f= x + 10x1x2 + x3 as a difference of squares, and f= x? + 10x,x2 + 30x as a sum of squares.…

A: Given f=x12+10x1x2+x22.  Let the associated matrix of f be A=abba is 2×2 symmetric matrix. Then,…

Q: -3 4 B = -1 | %3D 4 | 0 4 3. C = -2 5 1 D = 4 -2 0 1 Using the above matrices find DB

A: Given matrices are

Q: 1. Consider the matrices 0 4₁-(13), 1 3)₁ 4₂2 - ( -8 -2) ₁4₁ = (3-2). 0 1 3 -5 -4 A₁-(3) -4 0 and A4…

A: We have to match the given matrix with the function represented in the graph

Q: Ben can wash a car in 2 hours while his younger brother James can do it in 3 hours. How long will it…

A: In 1 hour Ben can wash 12 part of car. in 1 hour his younger brother can wash 13 part of car.

Q: 2. Consider matrices of the form -2 1 = a ( - 1² - ²2² ) + ³ ( -7 _ ²2 ) B B -2 1 -2 (a) Ma,B≥ 0.…

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Q: For matrices A, B, and C, if A is invertible and AB-C, then True False B = CA-¹.

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Q: Show that a matrix B has a left inverse if and only if BT has a right inverse.

A: Let’s assume that C is a left inverse of matrix B i.e.

Q: Find matrices A and B for which rank(A) = rank(B), but rank(A?) + rank(B²).

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Q: Let 0. A = |0 -11 -6 1 Write A as a product of elementary matrices. 2. 4)

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