(x+2y = 3 2.x + y = 3 Write this system in a matrix form Ax=b. Find the rank of the following matrices: rank(A)= rank([4 |b])=

Q: Find B2, if possible. - 2 4 *- [31] B = 35 Select the correct choice below and, if necessary, fill…

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Q: If A is 4x4 matrix with det(A)=10, find det (24-¹A), det (A²).

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Q: (2x1+3x2 - x3 +3x4 + X5 = 176 | 3x1 + x2-4x3 + 3x4 - x5 = 0 X1 + X2 + 3x3 - 4x4 + 2x5 48 %D X1 + 2x2…

A: The given…

Q: 2X + 3Y – 2Z = 5 5Y + 3Z = -2 4X – 3Y + Z = 1

A: Matrix form is 2 3 -2 5 0 5 3 -2 4 -3 1 1

Q: (2) Solve the following simultaneous equations using matrices: 2x + 7y = 11 5x + 3y = 13

A: We know that if  a1x+b1y=c1                  and   a2x+b2y=c2Then the matrix form will be written as…

Q: If A is a 4 X 2 matrix, explain why the rows of A must be linearly dependent.

A: If A is a 4 x 2 matrix, then it has 4 rows and 2 columns. Each row can be thought of as a vector in…

Q: h) Suppose we have the system of 4x – 3y = 5 and 5x + 3y = 4. You found the inverse of matrix A…

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Q: If A is a 3 x3 matrix and det(A) =-3, what is det(4A)?

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Q: Given that −1=−4x−3y and −5=7x+6y, find the values of x and y using the inverse of a matrix. Give…

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Q: Why did you write the number of columns of A as 3 when the matrix has only 2 columns

A: Let given matrix is Using RANK-NULLITY theorem, we haveRANK(A)+NULLITY (A)=number of columns in…

Q: What is the inverse of the matrix:  [2 1] [3 4]

A: INVERSE OF A MATRIX EXISTS IFF ITS DETERMINANT IS NON ZERO OR MATRIX IS INVERTIABLE. AND THEN

Q: 7. Let T1, T2, T3 represent the following row operations: T₁: Interchange rows 1 and 3. T2: Multiply…

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Q: = [2 1 3 -1 -1 -1 2

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Q: What is the inverse of the matrix: -1 3 2 -1 2 0 -1 -4 1 ?

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Q: Write the 2X2 matrix associated to a reflection about the x axis.

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