Select all statements below which are true for all invertible × matrices and = B. 4 is invertible C. (+)^2=^2+^2+2 D. + is invertible E. (+−1)^9=^9+^−9 F. (−)(+)=−^2

hello your question is poorly written below is the well written question and the options aren't available hence i will provide a general answer

Select all statements below which are true for all invertible n × n matrices. A and B

answer : a)(In+A)(In+A^-1) = In + A^-1 +A +AA^-1 = In + A^-1 +A + In = 2In+A+A^-1.

since (AB)^-1 = B^-1 *A^-1 hence

b) (A^6)^-1 will be  ()^-1= (A^-1)( A^-1)( A^-1)( A^-1)( A^-1)( A^-1) = (A-1)6.

Step-by-step explanation:

The True statements for all invertible n x n matrices A and B are :

(In+A)(In+A^-1) = In + A^-1 +A +AA^-1 = In + A^-1 +A + In = 2In+A+A^-1.

since (AB)^-1 = B^-1 *A^-1 hence (A^6)^-1 will be  ()^-1= (A^-1)( A^-1)( A^-1)( A^-1)( A^-1)( A^-1) = (A-1)6.

d. is the correct answer

step-by-step explanation:

b. an equilateral triangle inscribed in a circle

step-by-step explanation:

we are given the figure of two circles having a triangle inside.

now, we know that,

"when a figure is lying inside an another figure, then the outside figure is known as circumscribed figure and the figure lying inside is referred to as the inscribed figure".

as we see that, the circles are containing the triangle completely.

thus, the circles are the circumscribed figures and the triangle is the inscribed figure.

hence, we get, 'an equilateral triangle is inscribed in a circle'.