A is an n\times n matrix. check the true statements below:

a. an eigenspace of a is just a null space of a certain matrix.

b. if v_{1} and v_{2} are linearly independent eigenvectors, then they correspond to distinct eigenvalues.

c. if ax = \lambda x for some nonzero vector x, then \lambda is an eigenvalue of

a.

d. if ax = \lambda x for some vector x, then x is an eigenvector of

a.

e. the eigenvalues of a matrix are on its main diagonal.

Heena wants to measure the volume of a ball that is 24 cm across. how should she set up her equation?

Imagine you work as a consultant, and your daily job involves listening to the constructive criticism of others. as part of your job, you must listen to opposing viewpoints to make important decisions. in this activity, you are a consulting dam engineer. you must make a decision about four different dams; should they be repaired, taken down, or left alone? you will listen to contrasting opinions about what should be done with the dams before you make the final decision. as the consulting dam engineer, what do you decide to do with this dam? explain your reasoning. by making your decision, did you support the opinions of the mayor and/or the dam safety official? why or why not? (site 1)

An ionic compound can conduct electricity when a it is dissolved in water b its crystals are ground into powder c it is in solid form d it is heated to just below its melting point