What is the meaning of "81/"? Does the exercise really assign "81/" as the "value" (??) of the square of the matrix A? Or does it actually refer to the determinant of A?Consider a square matrix having order 2. If we assume A2=81I ...
What is the meaning of "9/"? In option (d), are they taking the absolute value of the determinant?...we can always conclude that
a. det A = 0
b. all the other statements are false
c. A = 9I
d. |det A| = 9
e. det A = 9
What is the meaning of "81/"? Does the exercise really assign "81/" as the "value" (??) of the square of the matrix A? Or does it actually refer to the determinant of A?
What is the meaning of "9/"? In option (d), are they taking the absolute value of the determinant?
What is the meaning of "81/"? Does the exercise really assign "81/" as the "value" (??) of the square of the matrix A? Or does it actually refer to the determinant of A?
What is the meaning of "9/"? In option (d), are they taking the absolute value of the determinant?
Consider a square matrix [A] having order 2
[...]
I stands for Identity Matrix
Just dealing with the notation question: The sans-serif font makes this italic capital i (I) look a lot like a slash (/), though not in this case like an italic lowercase L (l). I couldn't make any sense out of it. Probably it would be clearer (apart from using LaTeX) to use bold for matrices:Consider a square matrix having order 2. If we assume A2=81I we can always conclude that
a. det A = 0
b. all the other statements are false
c. A = 9I
d. |det A| = 9
e. det A = 9
The right answer is b), but why is that?