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

Evaluate the following: |[a, b+c, a^2],[b, c+a, b62],[c, a+b c^2]|

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

Evaluate abs([a-b,b-c,c-a],[b-c,c-a,a-b],[c-a,a-b,b-c])

The value of |{:(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):}|

Show without expanding at any stage that: [a+b,b+c,c+a],[b+c,c+a,a+b],[c+a,a+b,b+c]|=2|[a,b,c],[b,c,a],[c,a,b]|

The value of |(a-b,b+c,a),(b-a,c+a,b),(c-a,a+b,c)| is

Prove the identities: det[[a,b-c,c-ba-c,b,c-aa-c,b,c-aa-b,b-a,c]]=(a+b-c)(b+c-a)(c+a-b)]|

Prove that |[a+b+c, -c, -b],[-c, a+b+c, -a],[-b, -a, a+b+c]|=2(a+b)(b+c)(c+a)