Question

If A is orthogonal matrix of order 3 then det(adj 2A)=

Answer 1

Answer : 64

Step-by-step explanation:

For any orthogonal matrix ;

| A | = +- 1

Det ( adj 2A) = { 2^n x |A| }^n-1

Here A is the matrix and n is the dimensions of the orthogonal matrix

In the given case, n = 3

Putting the values;

Det ( adj 2A) = { 2^3 x |+-1| }^3-1

Det ( adj 2A) = { 8 x |+-1| }^2

Det ( adj 2A) = 64

Answer 2

Answer : 64

Step-by-step explanation:

For any orthogonal matrix ;

| A | = +- 1

Det ( adj 2A) = { 2^n x |A| }^n-1

Here A is the matrix and n is the dimensions of the orthogonal matrix

In the given case, n = 3

Putting the values;

Det ( adj 2A) = { 2^3 x |+-1| }^3-1

Det ( adj 2A) = { 8 x |+-1| }^2

Det ( adj 2A) = 64