-3 -1 -2 Use the Gauss-Jordan method to find the inverse of A = 7 or 3 2 -4. show that A is not invertible.

Q: 2. Determine the inverse of the following matrix. Express your answer in rational form. Indicate the…

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Q: 4. 1 a) Find by Gauss elimination, the inverse of the matrix, 2 -1 -2 2. 421

A: Since you have asked multiple questions, as per our company guidelines, we will solve the first…

Q: |. Let |0 2 A =| 2 2 7 .0 45 a) find the inverse of A 6) Let |0 2 3 B=|2 2 0 4 5 6 O 3 C find c…

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Q: 1 1 -2) 13. Find the rank of A=| 2 1 |and explain why it indicates that A is (-1 -1 2 not…

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Q: Find the inverse of A where A = |3 4 5 Lo -6 -7 Solve the following system of equation by Cramer’s…

A: 1) A=10-13450-6-72) System of equation2x-y+3z=9x+y+z=6x-y+z=

Q: Solve the following linear equations using the 5 methods: (Gaussian Elimination, Ga Inverse Matrix…

A: Gauss elimination: Given system of linear equation is…

Q: 1 1 b11 If B = 1 b12 b13 Let A = 2 1 b21 b22 b23 is 2 2 3 b31 b32 b33 the inverse of A then what is…

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Q: (a) Determine whether A is invertible. If so, find A-1. [ 2 3 10 -4 (i) A (ii) A = 4 1 -5 2

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Q: A) Find all ordered pairs (a, b) such that matrix A is not invertible.\ B) Assume that the values…

A: Here given matrix is A=111a20b3-1,

Q: 1 A =-3 -2 -2 ,and b= 9 1. Let 1 9. -5 ,x= 4 -8 -1 7 It can be shown that Ax b. Use this fact to…

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Q: :). d 8 -5 X%= dt 10 lint: The characteristic polynomial of the coefficient matrix is X2 – 14A + 98.…

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Q: - [B%]. 7. Suppose that B, C and D are n x n matrices and C, D are invertible. Let A= Find a formula…

A: For a 2×2 matrix, the inverse is calculated using the formula: pqrs-1=1detpqrss-q-rp.

Q: (a) Show that A2 − 2A + 5I = O, where I is the identity matrix of order 2.(b) Show that A−1 = 1/5…

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Q: Find the inverse of the ff. using Gauss-Jordan Method 1 2 2 а.) А%3 1 1 3 2 1 1 b.) A= 2 3 1 1 3. 1.

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Q: If A² = A and A 0, then A is invertible.

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Q: 2 -2 If B = then B is not invertible. -3 3

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Q: 3. Find the inverse of the matrix. SHOW ALL WORK. [120 -1

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Q: 6 1 1 (a) Given the key matrix K = 5 1 0 find its inverse, K1. 5 1 1 K1=D %3D

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Q: 3 5 a) 12. 2 2 -5 -1 3.

A: If the matrices are inverse of each other, then their product is equal to the identity matrix of the…

Q: [1 2 01[ 7 2 -6 .-3 -1 (c) 0 2 3 1 3 1 3 2 1-2.

A: We know two matrices A and B are inverse to each  other if AB=BA=I. Where, I is the identity matrix.…

Q: Matrix Analysis A B 820 1 6 2 1 --7 1 -1 1 492 -7 -2 1 1 -8 -7 1 E F 26 X + 1 X -2x Find: 6 3 18 7…

A: Explanation of the answer is as follows

Q: [2r2 – 3r1 21 - 4x2 6. Show that T is linear by finding its standard matrix given that T(|

A: Rewrite the RHS matrix in the equation form as: w1 = -3.x1 + 2.x2 w2 = 1.x1 - 4x2 w3 = 0.x1 + 0.x2…

Q: a b If A = then A is invertible if ad - bc = 0, in which case c d 1 d -b A-1 = ad - bc-c a If ad –…

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Q: 1 2 3 5. (a) Find the inverse of the matrix A = 2 4 5 As always, show your work. 3 5 6 (b) Suppose…

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Q: 1 2 3 Let A = 3 5 .What is the value of z if A is not- 1 invertible? 2.

A: Given, A=123235-21z Find the value of z if A is not invertible.

Q: 1 2 2 Let A = 1 3 3 and B = (b, b2 b3) be the inverse of 2 5 6 A. Which of the following is equal to…

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Q: Q3:Solve Matrices by using (Gramer Rule ) 2X + 4Y - 2Z – 2 = 0 X + Z-3 =0 2X + Y- Z -1 = 0 Techn

A: Solve by crammer rule

Q: -1 Given A= 1 -3 2 @ Why? O Find Adj A Find A(if it exists ?) Is A invertible? OOn A perform the…

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Q: (1 1 1 2 3 1 Let A = If B = (b, b2 b3) is the inverse of A 1 2 2 then which of the following is b2 ?…

A: Answer

Q: eLet 9. A = E M2(R). c d Define the function fA: M2(R) M2(R) by SA(X) = A. X for X E M2(R), where…

A: let A=abcd∈M2R according to question, define the function fA:M2R→M2R fAX=A·X for X∈M2R where ·…

Q: 1 -1 21 Let A = 1 4 and b = 3 2 -1] (a) If A is invertible, find A-1. -1 (b) If the inverse exists,…

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Q: 2/ 1. 2 If A = -2 -1 0 2 -1 3 What is the cofactor with the first row, second column element?

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Q: 1 1 Let A = 1 2 3 and B = (b, b, b3) be the inverse of A. 1 3 4 Which of the following is equal to…

A: Answer

Q: 1. -3-1 Use the Gauss-Jordan method to find the inverse of A=-2 7 -4 or show that A is not…

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Q: -3 -1 6. Find all a so that the matrix A = 1 -1 is positive -1 1 | defined; 4.

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Q: Conside the matrices A and AB. 3 9 21 A = 2 7 and AB 18 3. -6 9. Find C such that AC is invertible,…

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Q: 3. Suppose that A is an n x n matrix. a. Suppose that A? = AA is invertible with inverse B. This…

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Q: 1. Find the inverse of A = 1 1 0 1] 1 2 3 1 1 using the Gauss-Jordan method.

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Q: {2x +y-4z -2 (-x-3y+2z 0 %3D n of the following method can be used to solve the above sys Gaussian…

A: Given system of equations is:

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

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Q: Question 2 2 3 1 Find the determinate of 3 2 1 |1 0 1

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Q: + [12 1 Let A-3-1 2 [101] Find the cofactor matrix C and the inverse matrix A¹. Show the details of…

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Q: Find the RREF of [A| I], then determine whether A is invertible and, if so, find A-1. 2 -2 1 2 3 (i)…

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Q: [1 0 0 Let A = 2 1 0 and b = 1 3 2 3 (a) Use Gauss-Jordan elimination to compute the inverse of the…

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Q: -5 0 3 0 9 -10 10 6 -2 -9 2 5 -7 10 3 Use the matrix multiplication above to show how to find…

A: -503-1010625-709-2-9103 =-5· 0+0·-2+3· 10-5· 9+0·-9+3· 3-10· 0+10-2+6· 10-10· 9+10-9+6· 32·…

Q: (ii) 3p – 2q 19 4p + 5q = 10 Find p and q using inverse matrix method and cramers rule %3D

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Q: 22 [x + 1 x - 11 -1 5. Let A = |x-1 5 7 -X does not have the inverse. find the value of x that make…

A: Given A=x+12x-1x-12-157-x that A is not invertible, Therefore det(A)=0

Q: (a) Use Gauss-Jordan method to find the inverse of the following matrix : [1 2 3] 567 87 0

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Q: 1 2 3 A = 0 2 1 4 1 1 etermine whether the matrix 4A has an inverse by finding whether the…

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Q: 3. Consider the matrix 1 A = 1 -3 1 1 Use row operations to determine if the inverse of A exists. If…

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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.