Question

a.) if A is an m*n matrix, such that Ax=0 for every vector x in R^n, then A is the m * n Zero matrix b.) The row echelon form of an invertible 3 * 3 matrix is invertible c.) If A is an m*n matrix and the equation Ax=0 has only the trivial solution, then the columns of A are linearly independent. d.) If T is the linear transformation whose standard matrix is an m*n matrix A and the columns of A are linearly independent, then T is 1-to-1. e.) If T is the linear transformation whose standard matrix is an m*n matrix A and the columns of A are linearly independent, then T is onto. f.) If T is the linear transformation whose standard matrix is an m*n matrix A, when m<n, then T is not invertible. g.) If a square matrix has a row of zeroes, then it is not invertible

Answer 1

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