Find a 2 x 2 matrix such that -3 1

Q: Find the nullspace of the matrix

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Q: Find a non-zero 2 x 2 matrix such that -67 %3D [-8 24 0 0 2)

A: We have to find the non - zero matrix.

Q: Find x such that the matrix is equal to its own inverse. A = -5 -6

A: Given A=6X-5-6

Q: Determine the dimension of the matrix. -3 7 15 0 5 0 3 3 4 1 67

A: It is required to find the dimensions of the given matrices.

Q: Identify that the given matrix is Diagonalisable or not: -2 = | -2 6

A: A matrix is said to be diagonalizable if it is similar to a diagonal matrix. Also, if a matrix has…

Q: Find x such that the matrix is singular. X 3 A = -7 2 X =

A: Singular Matrix - A matrix is said to be singular if and only if its determinant is equal to zero.

Q: Find a non -2ERO 2x2 matRix A ouch +hat A2 = A=

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Q: Find x such that the matrix is singular. [ х 7 A = -5 2 X =

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Q: 2 0 -1 2 0 0 1 1

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Q: (18) Does a 2 × 2 diagonal matrix commute with every other 2 × 2 matrix?

A: We have to check

Q: Find a non-zero, two-by-two matrix such that: 6 -7 0 0 -30 35 0 0

A: Nonzero matrix and it's multiplication

Q: Find ∣A−1∣ for the matrix

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Q: Find x such that the matrix is equal to its own inverse. A = -2 -5

A: Topic = Matrices

Q: Find A of the matrix 1- A = 2. -4 2. 1.

A: The inverse of the matrix A of order n is defined as a matrix B of order n such that AB=BA=I, where…

Q: Determine whether the matrix is symmetric.

A: Now the transpose of this matrix is,

Q: Find the size of the matrix 0.

A: Count the number of rows and columns

Q: 3. Find all matrices which satisfy the matrix equation (::)(; })-(; :)(::)

A: Here,

Q: Find a two-by-two matrix such that: -9 5 1 0 3 5 0 1

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Q: Find x such that the matrix is equal to its own inverse. A = -3 -5 X = 6

A: Given,A = A-1AA-1=IAA = IA2 = IA = 5x-3-5

Q: Find the nullspace of the matrix.

A:

Q: Find a fundamental matrix for the system = (; 3)* -2' x'(t) : 2 -2

A: x't=3-22-2x   Let A=3-22-2 Characteristic equation of A is given by  λ2-trAλ+detA=0 where trA is the…

Q: Find a matrix with no zero entries that commutes with the given matrix A. 4 17 1 4

A: The detailed solution is as follows below:

Q: find the matrix X if

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Q: Find two 3 x 3 matrices A and B such that A · B+ B · A Find a 3 x 3 matrix A that is not the zero…

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Q: Find the adjoint of square matrix (A] [A] = 3 -2 3 -4

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Q: Find a non-zero 2 × 2 matrix such that -5 -1 25

A: Let a 2×2 matrix be: abcd such that: -5-1255 abcd=0000

Q: Find a non-zero, 2 x 2 matrix such that: -5 -5 25

A: Solution

Q: Find a family of the matrices that is similar to the matrix

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Q: Find the transpose of the matrix.   2 8 0 −1   7 2 −1 5

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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: Find x such that the matrix is equal to its own inverse.

A:

Q: Determine whether the matrix is symmetric. -1 4 4 1 O symmetric O not symmetric

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Q: Find the nullspace of the matrix

A: We have given the matrix;

Q: 3 (i);- 2

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Q: Find a family of the matrices that is similar to the matrix -2] 寸 -3 4-

A: Since, you have posted multiple questions but according to guidelines we will solve first question…

Q: Determine whether the matrix is symmetric, orthogonal, both, or neither.

A: Now transpose of matrix A is, Therefore A is a symmetric matrix.

Q: Find all values of a such that A3 = 2A, where   (see image of matrix)

A: Consider the given matrix,

Q: Find the nullspace of the matrix

A: The nullspace of the matrix is to be determined, The matrix is shown below as,

Q: Determine the size of the matrix. 2 1]

A: Given query is to find size of the matrix.

Q: Find the matrix B such that 2AT+3B=0.

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Q: Find a non-zero 2 x 2 matrix such that -7 1 35 -5

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Q: Determine the size of the matrix. 2 -1

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Q: 6 X1 -1 -5 X2 II

A: Let us consider the system of differential equation X'=AX then the solution of system of equation is…

Q: Find two 2 × 2 matrices such that ∣A∣ + ∣B∣ = ∣A + B∣.

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Q: Find the trace of the matrix A =

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Q: Give an example of a 3× 3 diagonal matrix.

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Q: Find a non-zero 2 × 2 matrix such that -5 -1 0 0 25 ||

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Q: Give an example of a nonzero 3 x 3 diagonal matrix A. A =

A: Diagonal Matrix: In linear algebra, a diagonal matrix is a matrix in which the entries outside the…

Q: (0 8 1 1 4 -1

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Q: Find a non-zero 2 x 2 matrix such that -6 -8 30 40

A: