calculate e^A. a= [-2    4]       [ 0    2] this is a 2x2 matrix

Q: Choose three different non-zero digits from your student ID number. Using only these numbers as…

A: The solution of above question is written below.

Q: Que. 2: Find the inverse of the matrix 1 -1 2 1 A = -1 2 2 -3 1 -1 2 -3 -1 4. by partitioning…

A: Partitioning Method: Let us consider a matrix An+1 of order  (n+1, then It can be expressed in the…

Q: I know that a real matrix can have real and complex eigenvalues/eigenvectors, but what if we start…

A: We can consider the transformation T:ℂ2→ℂ2Tx=Ixwhere I is the identity matrix. For this…

Q: What is Orthoganal Matrix?

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Q: What is mean by Matrix? Define elements matrix?

A: Matrix:- A set of numbers arranged in rows and columns so as to form a rectangular array is called…

Q: Multiplying these two matrices together in the correct way will give the total cost for each team.…

A: Introduction: A matrix is a rectangular array or table in which numbers or components are arranged…

Q: Which matrices have negative eigenvalues?

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Q: Explain the reason, why we factorize real matrix to get singular value decomposition ?

A: To Describe : Why do we factorize real Matrix to get singular value decomposition

Q: How quickly can you find the eigenvalues of an upper triangular matrix?

A: We have to say that in how quickly we can find the eigenvalues of an upper triangular matrix.

Q: Give an example of a 3x3 non triangular matrix with with eigenvaluse 2,3,-2

A: Give an example of a 3x3 non triangular matrix with with eigenvaluse 2,3,-2

Q: Define the term matrix equation.

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Q: How matrix notation helps in simplification of computations with systems of differential equations?

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Q: Determine if the statement is true or false. If two matrices are equivalent, then one can be…

A: According to the definition, Two matrices are said to be equivalent if they can be transformed into…

Q: Explain Matrix-Valued Functions?

A: A function is a relation from a set A to set B such that each values in the set A maps to exactly…

Q: Determine the size of the matrix.

A: Size of matrix is (no of rows × not columns)

Q: Define Matrix exponential.

A: For each n × n square matrix A, define the exponential of A to be the matrix Also,

Q: Determine the values of x and y that make the matrix equation true. X -5 y

A: Value of x = 7 and y = -5

Q: There are sixteen 2 by 2 matrices whose entries are 1s and -1s how many of them are invertible

A: A matrix will be invertible if the determinant is not equal to 0

Q: How to get Linear equations from matrices ?

A:

Q: matrix has determinant 9 and a repeated positive eigenvalue. What is this eigenvalue?

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Q: A matrix that has the same number of rows as columns is called a/an ------------------- matrix.

A: A matrix is a rectangular array of numbers or objects. Each value in the matrix is called the…

Q: If two nxn matrices A and B have the same eigenvalues with same multiplicities, then they are…

A:

Q: Is the product of two elementary matrices always elementary? Explain.

A: To check product of two elementary matrices will be elementary or not.

Q: 423 matrix whose entrics ore 3. real numbers

A: Real matrix

Q: Describe The Exponential of a Matrix.

A:

Q: Use the definition of the matrix exponential to

A: Given,           X'(t)=01-10X(t)

Q: Suppose the trace of a matrix is equal to 10. If this matrix is also an identity matrix, how many…

A: Given: The trace of a matrix is equal to 10 and the matrix is an identity matrix.   To determine:…

Q: What is a tridiagonal-matrix (TDM) equation?

A:

Q: What is the term matrices

A: Matrices :- A matrix is an ordered rectangular array of numbers or functions. The numbers or…

Q: Is the sum of two invertible matrices invertible? Explain why or why not. Illustrate your conclusion…

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Q: Give an example of a 2 x 2 matrix with no real eigenvalues.

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Q: How do you find the eigenbasis of the matrix {{10,-2,-2}{-2,1,7}{-2,7,1}}? I know what the…

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Q: Give an example of a 2 × 2 matrix with no real eigenvalues.

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Q: Prepare Multiple Regression Model in Matrix Notation?

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Q: Show the concept of addition of matrices Along with an example.

A: Consider two matrix A and B of same order say 3*3.

Q: Define Exponential Matrices?

A: A matrix  function on square matrix analogous to the ordinary exponential function is a matrix…

Q: Explain how The Matrix Form of the Equations.

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Q: Determine whether each of the following matrices is symmetric and/or orthogonal.

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Q: Explain how to calculate Coefficient matrix.

A: To find the Coefficient matrix you have to arrange the equations in standard form first.  Then write…

Q: List all the possible reduced echelon forms for 2 x 3 matrices. (Use * to donote entries which could…

A: Given: A 2×3 matrix To list: All the possible reduced echelon forms for 2×3 matrices.

Q: How do you find the matrix coefficient with the points: (2, 4), (3, 1), (5, 2)?

A: The matrix coefficients are the coefficients of the variables (x, y) of the simultaneous linear…

Q: What is meant by Zero matrix?

A: It is known that a matrix whose all the elements are zero is known as null or zero matrix.Moreover,…

Q: Describe when the multiplication of two matrices is not defined.

A: Given, multiplication of two matrices

Q: Create an example of a square matrix, A with eigenvalues, 1 and 2 only; however, the corresponding…

A: It is given that a square matrix A has only two eigen values 1 and 2.The corrosponding eigen space…

Q: what does it mean for two matrices to be similar? If A and B are similar, list all properties that…

A: The linear algebra is used for solving system of linear equations. The matrices can be formed by…

Q: Give two examples of a 2 x 2 matrix with no inverse (singular).

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Q: The trace and determinant of a 2 x 2 matrix are known to be -2 and -35 respectively. Its eigenvalues

A: solution :given that trace=-2and determinant =-35 of a 2×2 matrix .we know that trace =…

Q: Solve 1 1 1 1 -)))-(-) using the inverse of a matrix.

A: This is a problem of linear transformation.

Q: Find out two examples for each types of matrices and write down it's order also

A: