Find the matrices of x and y if. 2x- y = [ -6 3 2 I and x+2y = 1

Q: 0. Find the inverse of the invertible matrix B = 4 4-3

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Q: 3: For the matrices, A = [1 and B = 01 -31 (a). Show that, (A+ B)" AT +B". (b), Show that, (AB)-1 =…

A: Show that  a) (A+B)T= AT +BT  b) (AB)-1= B-1A-1  For the matrix A and B .

Q: The 2 x 2 elementary matrix E can be obtained from the identity matrix using the row operation r₁7₁…

A: Given: The matrix A=-552-2. The 2×2 elementary matrix E can be obtained from the identity matrix…

Q: Use the matrix P to show that the matrices A and A′ are similar.

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Q: Determine the cofactor of a32 in the matrix. 6 -2 A =9 1 8. -2 00

A: The given matrix is:

Q: Find the inverse of the matrix (if it exists). (If an answer does not exist, enter DNE.) 10 -3 -6 -3…

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Q: find A*B and B*A for the matrices A= 10 1 2 1 1 3 2 -1 B= 0 0 3 1 2 4 -1 -1 0

A: We have to find AB and BA for the matrices                                             A=10121132-1…

Q: Find the matrixx such that 2A + B + X =0 where 1 2 3 -2 A = %3D 3 4 1 5 Select one: a. -1 -2 -7 13

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Q: Let A, B, C and D be square invertible matrices, such that AB = CD. Find an expression for B-¹?…

A: Use the properties of invertible matrices and their product to solve this problem as in next step.

Q: D = 3 1 5 0 -4 5 -2 -4 3

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Q: All leading 1's in a matrix in a row echelon form must occur in different columns. O True O False

A: Given problem:- All leading 1's in a matrix in a row echelon form must occur in different columns.…

Q: 32x+y -1 526 -1 x+4y 10

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Q: Solve the equation (X – A)B = BC for X, assuming A, B, and C are all invertible (note that A, B, C,…

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Q: Find the inverse of the matrix (if it exists). (If an answer does not exist, enter DNE.) -3 -2 -6 3…

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Q: Find ∣A−1∣ for the matrix

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Q: solve for x and y in the matrix A= [ x -4 3 y] if A^2 = [52 -36  27  -11] x = y =

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Q: d) Consider the following matrices: [1 -3] and B- Find: i) A- ii) (2AB) -

A: Given matrices are A = 1-32-4 and B-1 = 21-11

Q: Find a, b, c, x, y, and z to make matrices A and B equal if 1 x +1 b- 2 1 2 -1 A = a y + 1 2 and B =…

A: Two matrices are called equal matrices if they have the same order or dimension and the…

Q: Determine the cofactor of 2 in the matrix A = 1 9. 7 4 O-4 3. O -3 2.

A: Cofactor of any element aij is the determinant of the matrix formed by deleting row i and column j…

Q: Find the inverse of the matrix if it exists. 2 10 1 2 2 1 4 4

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Q: Give the matrix associated with the quadratic form 10(x,)? – 5x,x2 +6(x,)².

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Q: Let p(x) = x³ – 2x + 4 and compute p(A). - -- A = -3 2 4 NOTE: Write the elements of the matrix…

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Q: Consider the matrix below A= 3 -2 4 0 -6 7 a 1 2 -2 1 -3 -4 3 1 2 Find the minor and cofactor of a

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Q: Find x such that the matrix is equal to its own inverse. 7 A = -6 -7 X =

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Q: Let A and B be nx n matrices. Which of the following statements are always true? (i) (AB)² = 4²B?

A: i   AB2=A2B2-Not Trueii   Ax=0 has infinity many solution then A is not inversible .…

Q: H.W Find the Adjoint to the following matrix 4 X = -3 7 1

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Q: -3 [1 For the Matrices A = 2 [4 3 and C = | and 3 -1 1 B = Find: (A.B ) – 3 CT

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Q: Let p(x) = x³ – 2x + 4 and compute p(A). |2 A = |0 -3 4 NOTE: Write the elements of the matrix…

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Q: Find x such that the matrix is equal to its own inverse. 9 A = -2 -9 X =

A: To find:- value of x such that given matrix A is equal to it's own inverse

Q: Find the matrix A (in terms of B and C) if (3.4T + 4BC )T= 5.4 – 3C A)}(4B"cT + 3C) (B)}(4C"BI- 3C)…

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Q: |2 0 if A=| -3 -2 4 and B= 1 find the Matrix X such that 3A+4X=5B 1 3

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Q: Let A be a 4 x 4 matrix with |adj(A) = -8, then 2A.adj(2A) - (where 1, is 4 x 4 identity matrix)…

A: Given that: A is a 4x4 matrix.                       |adj(A)|=-8

Q: An identity matrix is represented by.... а. Нн-1 b. HH-1H O c. H-1H

A: Given problem:-

Q: Find the inverse of the matrix (if it exists). (If an answer does not exist, enter DNE.) 3 1 2 2 1 2…

A: Explanation of the answer is as follows

Q: Find a 2 x 4 matrix X, such that 2A +3X = 5B where 1 3 A 4 8 %3D -2 7 5 B = -1 1 3 4

A: This is a matrix operation problem

Q: d) Consider the following matrices: and B- 2 Find: A- i) (2AB) -1

A: Given A = 1-32-4 and B-1 = 21-11

Q: a) (11-1) If A = 0 -2 3 001 , Show that A² = −4+27, where is the identity matrix.

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Q: Find a matrix C such that A = CB for the matrices 1 4 5] A = |-2 0 1 3 1 0 -4 0 2] B= | 1 4 5 5 5…

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Q: Find a matrix A such that 2A-3B+5C=0 -2 Where B= 2 0 3 1 4 [2 0 -2 andC = 7 1 6

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Q: For the two matrices shown, find the * addition 2 1 - 1 1 1 2 1 - 2 - 2 3 2 1 3 1 2 1 1

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Q: Which of the matrices below are elementary? For those that are, describe the corresponding…

A: Since you have posted multiple sub parts, as per our policy we will answer first three sub parts.…

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

A: Given the matrices :

Q: Find values for the variables so that the matrices are equal.

A: we have to find the value of the variables so that the matrices are equal. x7=11y

Q: Find the inverse of the matrix (if it exists). (If an answer does not exist, enter DNE.) -5 -2 -4 3…

A: To find the inverse of the matrix-5-2-4312625

Q: For the two matrices shown, find the * addition 2 1 -1 1 1 2 1 - 2 3 2 1 3 - 2 1 2 1 1

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Q: Find ∣A∣, ∣B∣, and ∣AB∣ for the matrices

A: given: A=1-22032101 B=2010-1-231-2

Q: If A and B are square matrices of the same order and p is scalar. Which one of the following…

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Q: Suppose A, B, and X are invertible 3 x 3 matrices. Suppose that [1 2 0 0 1 1 1 3 • A8 = I3; and…

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