|[2,a,abc],[2,b,bca],[2,c,cab]|

det[[2,a,abc2,b,bca2,c,cab]]

Show that , |[(a^2+b^2)/c,c,c],[a,(b^2+c^2)/a,a],[b,b,(c^2+a^2)/b]|=4abc

If =det[[abc,b^(2)c,c^(2)babc,c^(2)a,ca^(2)abc,c^(2)a,ca^(2)abc,a^(2)b,b^(2)a]]=0,(a,b,c in R) and a+b+c,=0a+b+c,=0

" if " Delta = |{:(abc,,b^(2)c,,c^(2)b),(abc ,,c^(2)a,,ca^(2)),( abc,,a^(2)b,,b^(2)a):}| =0 , (a, b, c in R " and are all " different and non- zero ) the prove that a+b+c=0

Identify the like terms in each of the following: -2x^(2)y,x^(2)z,-yx^(2),x^(2)y^(2)cab^(2),a^(2)bc,b^(2)ac,c^(2)ab,ab^(2)c,abc,acb^(2)

Identify like terms in the following: abc, ab^(2)c, acb^(2), c^(2)ab, b^(2)ac, a^(2)bc, cab^(2)

Identify the like terms in the following: (i) a^(2), b^(2), - 2a^(2) , c^(2) , 4a (ii) 3x, 4xy, - yz, (1)/(2)zy (iii) -2xy^(2), x^(2) y, 5y^(2)x, x^(2) z (iv) 'abc, ab^(2)c, abc^(2), c^(2)ab, b^(2)ac, a^(2)bc, cab^(2)

Write True or False Compound ratio of ab:c^2, bc:a^2 and ca: b^2 is 1:1.

Let A=[(4,6,-1),(3,0,2),(1,-2,5)],B=[(2,4),(0,1),(-1,2)] and C = [(3,1,2)] . Then which of the products ABC, ACB, BAC, BCA, CAB, CBA are defined. Calculate the product which ever is defined.