4. Use a computer to find: (a) Inverse of the Hilbert matrix: 1 1 /2 1/3 1/4 1/5 1/2 1/3 1/4 1/5 1/6 A = 1/3 1/4 1/5 1/6 1/7 1/4 1/5 1/6 1/7 1/8 1/5 1/6 1/7 1/8 1/9. (b) What is the condition number of A ? State which norm was used to find the condition number.

Q: Show that matrices A and B = are inverses of each 2 3 other.

A: See the details solution in below

Q: Consider the following matrices: [1 2 3] 4; li 4 3] 3 2 1 [A] 1 [B] -4 1 3 -1. Find: b) 2[A] – 3[B]

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

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Q: Show that A satisfying A P-¹BP. P-1 -4 2 0-21 0-2 and B (-4(2sqr (-2i(2sqr (-2i(sqrt( 2i(4sqrt(…

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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: Find the inverse of the matrix: in F7. 2 5 1 1 3 26 3 5

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Q: Q5: Write the following as a product of elementary matrices. 8 00 1 1 -2 (а) |0 -3 1 0] 0 2 0 5 0 20…

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Q: Use the inverse matrices to find (AB)¯¹, (A7)¯¹, and (24)¯¹. 1 1 1 2 2 1 3 1 244 A-1 = (a) -2 1 3 2…

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Q: Consider the two matrices: Compute A + 3B. The result is equal to: Select one: O a. O b. O c. 4 -12…

A: (.)  Given matrices are , A=   2  4-6  0   ,    B =    1 -5-3     2 now we find  12A+3B .

Q: Show that the matrix TR2 is the inverse matrix of (R-1)²T-1.

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Q: Decide whether or not the matrices are inverses of each other. and Cmatrix (((1/2) - (1/2))((7/2) -…

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Q: 2. For the matrix A = 2 [1 a) det (A) b) tr (A) c) [1 2 5 Inverse of A 3] 3, calculate 0 81

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Q: 1 1 1] A= 2 4 -3 - 5|] b. Find the inverse of the matrix

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Q: Give the inverse of the 2x2 matrix [1 2] [1 1]

A: Inverse of matrix

Q: Consider the matrix product: 2 3. -3 -1 -2 1 H = -2 -1 1 -3 2 -1 0 %3D 0 2 -1 -1 1 2

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Q: Q.5 Write each product as a single matrix: 1 02 1 1 [3 -2 2] 2 i. ii. iii. iv. 3 1 -1 2 2 -2 -1-1 -2…

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