Compute the following: ` [[a,b],[-b,a]]+[[a,b],[b,a]]`

compute the following : (i) [{:(a,b),(-b,a):}]+[{:(a,b),(b,a):}] (ii) [{:(a^(2)+b^(2),b^(2)+c^(2)),(a^(2)+c^(2),a^(2)+b^(2)):}]+[{:(2ab,2bc),(-2ac,-2ab):}] (iii)[{:(-1,4,-6),(8,5,16),(2,8,5):}]+[{:(12,7,6),(8,0,5),(3,2,4):}] (iv) [{:(cos^(2)x, sin^(2)x),(sin^(2)x,cos^(2)x):}]+[{:("sin"^(2),cos^(2)x),(cos^(2) x , sin^(2)x):}]

Compute the following: [[a^2+b^2, b^2+c^2],[a^2+c^2, a^2+b^2]] + [[2ab,2bc],[-2ac,-2ab]]

Evaluate the following: |[b+c, a-b, a],[c+a, b-c, b],[a+b, c-a, c]|

Evaluate the following: |[a-b, b-c, c-a],[b-c, c-a, a-b],[c-a, a-b, b-c]|

Evaluate the following : |{:(b+c,a,a),(b,c+a,b),(c,c,a+b):}|

If A=[[a,b],[-b,a]], B= [[-a, b],[-b, -a]] then find A+B

Prove the following : |{:(a^(2),a,b+c),(b^(2),b,c+a),(c^(2),c,a+b):}|=-(a+b+c)(a-b)(b-c)(c-a)

Compute the following a^(((log)_b((log)_a N))/((log)_b a))