Provide an appropriate response.Does a matrix with a column of all zeros have an inverse? Why or why not?

What will be an ideal response?


No. Assume that the matrix had an inverse. In multiplying the row of zeros by the corresponding elements in the columns of the "inverse," you would get all 0's. It would be impossible to multiply the two matrices and get the identity matrix, which has all 1's on the diagonal. (Explanations may vary.)

Mathematics

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Solve the problem.Points A and B are on opposite sides of a lake. A point C is 96.3 meters from A. The measure of angle BAC is 70°10', and the measure of angle ACB is determined to be 39°20'. Find the distance between points A and B (to the nearest meter).

A. 31 m B. 65 m C. 33 m D. 63 m

Mathematics

Determine the number of spanning trees in the graph.

A. 63 B. 16 C. 62 D. 17

Mathematics

Evaluate the improper integral or state that it is divergent. 

A. - 
B.
C. 0
D. -9

Mathematics

Solve the triangle, if possible. Approximate values to the nearest tenth when appropriate.? = 41°10', a = 4.2, b = 3.2

A. ?1 = 59°58', ?1 = 78°50', c1 = 5.6 ?2 = 120°38', ?2 = 18°10', c2 = 1.6 B. ?1 = 78°58', ?1 = 59°50', c1 = 4.8 ?2 = 18°38', ?2 = 120°10', c2 = 15.7 C. ?1 = 59°46', ?1 = 79°4', c1 = 4.8 ?2 = 120°14', ?2 = 18°36', c2 = 1.6 D. No solution

Mathematics