1) A rectangular array of numbers arranged in rows and columns. a) matrix b) inverse matrix c) transpose d) identity matrix 2) A scalar value that is computed from the elements of a square matrix and provides important properties of the matrix, such as whether it is invertible. For a 2x2 matrix (abcd), the determinant is ad−bc a) matrix b) determinate c) inverse matrix d) transpose 3) For a square matrix A, its inverse A^−1 is a matrix such that AA^−1=(A^−1)A=I, where I is the identity matrix. A matrix has an inverse only if its determinant is non-zero. a) matrix b) determinate c) inverse matrix d) transpose 4) The transpose of a matrix A is obtained by swapping its rows with its columns. If A is an m×n matrix, then its transpose AT is an n×m matrix. a) matrix b) determinate c) inverse matrix d) transpose 5) A square matrix with ones on the diagonal and zeros elsewhere. It acts as the multiplicative identity in matrix multiplication. a) identity matrix b) eigenvalue c) eigenvector d) rank 6) A scalar λ such that there exists a non-zero vector v (called an eigenvector) for which Av=λvAv=λv, where AA is a square matrix. a) identity matrix b) eigenvalue c) eigenvector d) rank 7) A non-zero vector v that, when multiplied by a matrix A, results in a vector that is a scalar multiple of v. The scalar multiple is called the eigenvalue. a) identity matrix b) eigenvalue c) eigenvector d) rank 8) The ____ of a matrix is the maximum number of linearly independent row or column vectors in the matrix. It indicates the dimension of the vector space spanned by its rows or columns. a) identity matrix b) eigenvalue c) eigenvector d) rank 9) A square matrix that does not have an inverse, typically because its determinant is zero. a) singular matrix b) diagonal matrix c) matrix d) inverse matrix 10) A matrix in which the entries outside the main diagonal are all zero. The main diagonal itself can contain either zero or non-zero elements. a) singular matrix b) diagonal matrix c) matrix d) inverse matrix

Matrix Terminology

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