Which statement about inverse matrices is true

Option A.

Step-by-step explanation:

If B is the inverse matrix of the matrix A, we have that:

A*B = B*A = I

This means that both matrixes commute with each other, this implies that the matrixes need to have the same number of rows than columns, so the matrices are square.

Now the other 3 statements are false:

If the determinant is zero the matrix is not invertible.

Not all the square matrices are invertible.

and option B is obviously false because is the negation of option A.

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step-by-step explanation:

hope it you

step-by-step explanation:

sin(7pi/6 - pi/3)  

= sin(7pi/6 - 2pi/6)  

= sin(5pi/6)  

= sin(pi - pi/6)  

= sin(pi/6)  

= 1/2  

sin 7pi/6 - sin pi/3  

= sin (pi + pi/6) - sin pi/3  

= -sin pi/6 - sin pi/3  

= -1/2 - sqrt(3)/2  

= -(1+sqrt(3))2