If a, b and c are distinct and D=|[ a b c; b c a; c a b ]|, then the square of the determinant of...

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If a,b, and c are distinct and D=`|{:(a,b,c),(b,c,a),(c,a,b):}|` then the square of the determinant If a,b, and c are distinct and D=`|{:(a,b,c),(b,c,a),(c,a,b):}|` then the square of the determinant
The determinant | Chapter 6, Essence of linear algebra The determinant | Chapter 6, Essence of linear algebra
if `a , b , c` are all distinct and `|[a,a^3,a^4-1] , [b,b^3,b^4-1] , [c,c^3,c^4-1]|=0` Show tha... if `a , b , c` are all distinct and `|[a,a^3,a^4-1] , [b,b^3,b^4-1] , [c,c^3,c^4-1]|=0` Show tha...
Show that:det [[a - b - c, 2a, 2a], [2b, b - c - a, 2b], [2c, 2c, c - a - b]] = (a + b + c) ^ 3 Show that:det [[a - b - c, 2a, 2a], [2b, b - c - a, 2b], [2c, 2c, c - a - b]] = (a + b + c) ^ 3
If a,b and c are all positive and distinct, show that|a,b,c|, |b,c,a|, |c,a,b|has a negative value. If a,b and c are all positive and distinct, show that|a,b,c|, |b,c,a|, |c,a,b|has a negative value.
prove that det ( b+c a a , b c+a b , c c a+b)=4abc || Prove that `|b+c a a b c+a b cc a+b|=4a b c prove that det ( b+c a a , b c+a b , c c a+b)=4abc || Prove that `|b+c a a b c+a b cc a+b|=4a b c
If `a , b , c` are distinct real numbers and the system of equations `a x+a^2y+(a^3+1)z=0` `b x+... If `a , b , c` are distinct real numbers and the system of equations `a x+a^2y+(a^3+1)z=0` `b x+...
If |■(a-b-c&2a&2a@2b&b-c-a&2b@2c&2c&c-a-b)|= (a+b+c) (x+a+b+c) If |■(a-b-c&2a&2a@2b&b-c-a&2b@2c&2c&c-a-b)|= (a+b+c) (x+a+b+c)