. Find the inverse matrix for the followings matrices using Gaussian elimination method [4 2 -1] i-...

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Find the inverse matrix for the followings matrices using Gaussian elimination method [4 2 -1] i- A ii- B = 0 1 2 l2 3 7 Problem 2 Ahmad, Sari, and Radhi went to a market, and bought groceries from the market. If the Item X (quantity) Item Y (quantity) 5 Item C (quantity) Total paid (SR) Person Ahmad 438 Sari Radhi To explain the table above, let us consider Ahmad as an example. Ahmad bought 1 item of X, 5 Items of 2 4 8 536 4 3 12 754 Y and 6 Items of C and he paid 438 SR. Similarly Sari and Radhi went to the market and bought items as indicated in the table. Find the cost of Item X, item Y, and Item C Problem 3 Find the solution for the following differential equations i- y" + 4y' + 13y = 0, y(0) = 2 & y = 1 ii- y" + 12y' + 36y = 0, y(1) = 0 & y'(1) = 1 Problem 4 Find the solution for the following differential equations y' + 5x?y = 4x2 y' +x = 1 i- ii- Find the inverse matrix for the followings matrices using Gaussian elimination method [4 2 -1] i- A ii- B = 0 1 2 l2 3 7 Problem 2 Ahmad, Sari, and Radhi went to a market, and bought groceries from the market. If the Item X (quantity) Item Y (quantity) 5 Item C (quantity) Total paid (SR) Person Ahmad 438 Sari Radhi To explain the table above, let us consider Ahmad as an example. Ahmad bought 1 item of X, 5 Items of 2 4 8 536 4 3 12 754 Y and 6 Items of C and he paid 438 SR. Similarly Sari and Radhi went to the market and bought items as indicated in the table. Find the cost of Item X, item Y, and Item C Problem 3 Find the solution for the following differential equations i- y" + 4y' + 13y = 0, y(0) = 2 & y = 1 ii- y" + 12y' + 36y = 0, y(1) = 0 & y'(1) = 1 Problem 4 Find the solution for the following differential equations y' + 5x?y = 4x2 y' +x = 1 i- ii-