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Questions and Answers
What is the multiplicative identity of a matrix?
What is the multiplicative identity of a matrix?
- A matrix whose elements are all zeros except the diagonal elements which are ones (correct)
- A matrix whose elements are all ones
- A matrix whose determinant is equal to one
- A matrix whose determinant is equal to zero
If A and B are square matrices, which of the following statements is true?
If A and B are square matrices, which of the following statements is true?
- (AB)^-1 = A^-1B^-1
- (AB)^-1 = B^-1A
- (AB)^-1 = BA^-1
- (AB)^-1 = B^-1A^-1 (correct)
What is the determinant of a square matrix?
What is the determinant of a square matrix?
- A scalar value associated with a matrix that represents the volume of the parallelotope formed by its row vectors
- A scalar value associated with a matrix that represents the area of the parallelogram formed by its row vectors
- A scalar value associated with a matrix that represents the scaling factor of the linear transformation represented by the matrix (correct)
- A scalar value associated with a matrix that represents the sum of the diagonal elements of the matrix
What is a singular matrix?
What is a singular matrix?
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What is the adjoint of a matrix?
What is the adjoint of a matrix?
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Which method can be used to solve a system of two linear equations with two unknowns?
Which method can be used to solve a system of two linear equations with two unknowns?
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What is the order of a matrix A with m rows and n columns?
What is the order of a matrix A with m rows and n columns?
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When are two matrices A and B considered equal?
When are two matrices A and B considered equal?
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What is the order of the matrix $A = \begin{bmatrix} 1 \end{bmatrix}$?
What is the order of the matrix $A = \begin{bmatrix} 1 \end{bmatrix}$?
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What is the order of the matrix $B = \begin{bmatrix} 2 & 3 \ 4 & 5 \end{bmatrix}$?
What is the order of the matrix $B = \begin{bmatrix} 2 & 3 \ 4 & 5 \end{bmatrix}$?
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What is the order of the matrix $C = \begin{bmatrix} 1 & 2 & 3 \ 4 & 5 & 6 \end{bmatrix}$?
What is the order of the matrix $C = \begin{bmatrix} 1 & 2 & 3 \ 4 & 5 & 6 \end{bmatrix}$?
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What is the order of the matrix $D = \begin{bmatrix} 1 \ 2 \ 3 \end{bmatrix}$?
What is the order of the matrix $D = \begin{bmatrix} 1 \ 2 \ 3 \end{bmatrix}$?
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