12 Questions
What is the multiplicative identity of a matrix?
A matrix whose elements are all zeros except the diagonal elements which are ones
If A and B are square matrices, which of the following statements is true?
(AB)^-1 = B^-1A^-1
What is the determinant of a square matrix?
A scalar value associated with a matrix that represents the scaling factor of the linear transformation represented by the matrix
What is a singular matrix?
Both (a) and (c) are correct
What is the adjoint of a matrix?
The matrix obtained by replacing each element by its cofactor
Which method can be used to solve a system of two linear equations with two unknowns?
Both (a) and (b) can be used
What is the order of a matrix A with m rows and n columns?
m-by-n
When are two matrices A and B considered equal?
If they have the same number of rows and columns, and their corresponding elements are equal.
What is the order of the matrix $A = \begin{bmatrix} 1 \end{bmatrix}$?
1-by-1
What is the order of the matrix $B = \begin{bmatrix} 2 & 3 \ 4 & 5 \end{bmatrix}$?
2-by-2
What is the order of the matrix $C = \begin{bmatrix} 1 & 2 & 3 \ 4 & 5 & 6 \end{bmatrix}$?
2-by-3
What is the order of the matrix $D = \begin{bmatrix} 1 \ 2 \ 3 \end{bmatrix}$?
3-by-1
This quiz covers topics related to matrices and determinants operations, including defining multiplicative identity, calculating determinants, identifying singular and non-singular matrices, finding the adjoint matrix, and determining the multiplicative inverse. It also includes solving systems of linear equations.
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