Question: True or false a) The null space of a matrix A is equivalent to the solution space of the homogeneous system as Ax = 0

True or false

a) The null space of a matrix A is equivalent to the solution space of the homogeneous system as Ax = 0

b) If A and B are similar, their characteristic polynomials are the same

c) If matrix A is diagonalizable, it has n linearly independent eigenvectors.

d) If a linear transform is injective then the kernel has dimension 0.

e) The rank of a linear transformation is the dimension of the counter domain.

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