Consider the matrix A below. Find a value of h such that the eigenspace for 1 = -3 is two-dimensional, and enter the value in h. [-3 3 9. -7 1 h -2 A = 0 -3 -2]

Q: Suppose that matrix A has dimension 2x2 and that matrix B has dimension 2x5. Decide whether the…

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Q: Find a 2 by 2 matrix that reflects the point (x,y) abot the x axis?

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Q: What is the rank of the matrix?

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Q: Construct a 2 x 2 matrix that is diagonalizable but not invertible.

A: we have to construct a 2 x 2 matrix that is diagonalizable but not invertible.

Q: Define the matrix square root?

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Q: Illustrate the Skew-symmetric matrix ?

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Q: Show that for a square matrix A, AAT is a symmetric matrix.

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Q: Please compute the next matrix

A: The solution is provided for A. We shall solve B and C.

Q: Describe the range and null space of any n × n nonsingular matrixand the n × n zero matrix.

A: According to the given information first it is required to calculate the range of n×n non-singular…

Q: What is a row matrix?

A: A matrix having only one row is called a row matrix.For example

Q: What is the Matrix multiplication?

A: Matrix multiplication is the multiplication of two matrices to produce a new matrices. For…

Q: Illustrate the Matrix Notation and Terminology by using suitable example?

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Q: Can a square matrix with two identical columns be invertible? Why or why not?

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Q: Find a 2 x 2 matrix such that -5 6 +988-0 1 -3 = [1 1

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Q: Give an example example of a 3x5 matrix in BREF where RX=0 has unique solution.

A: The aim is to find an example of  matrix in RREF where  has a unique solution.

Q: Construct a 2 by 2 matrix whose nullspace equals its column space. This is possible.

A: We can construct a 2 by 2 matrix whose nullspace equals its column space. This is possible.

Q: Let A be a 4x4 matrix and det(A)=2. Find det(2A-)'

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Q: Create a 2 × 2 matrix with the components -1, 1, and 0 such that when you multiply the matrix with a…

A: The reflection across x-axis means the matrix transforms one vector (x,y) to the vector (x,-y).