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Find the value of determinat A 2x2 order =[ sina cosb Cosb cosa] [Cosb-cosa Sina-sinb ] Please share the solution of this 2x2 determinants and also check if the answer match =zero if not what is the answer of the determinants please share with me?
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Find the value of determinat A 2x2 order =[ sina cosb Cosb cosa] [Cosb...
Solution:
To find the value of the determinant A, which is a 2x2 matrix, we can use the formula for the determinant of a 2x2 matrix:
|A| = (a*d) - (b*c)
Where the matrix A is given by:
A = [a b]
[c d]
In this case, the matrix A is:
A = [sin(a) cos(b)]
[cos(b) cos(a)]
So, let's calculate the determinant using the formula:
|A| = (sin(a)*cos(a)) - (cos(b)*cos(b))
Simplifying further, we have:
|A| = sin(a)*cos(a) - cos^2(b)
Now, we need to check if the determinant is equal to zero or not. If it is equal to zero, then the matrix is singular (i.e., it has no inverse). If it is not equal to zero, then the matrix is non-singular (i.e., it has an inverse).
Let's substitute some values for a and b to see if the determinant is zero or not.
For example, let's assume a = 0 and b = π/2:
|A| = sin(0)*cos(0) - cos^2(π/2)
= 0*1 - 0
= 0
As we can see, the determinant is zero for this particular choice of values for a and b. However, this does not prove that the determinant is always zero for any values of a and b.
To find the general solution, we need to write the determinant equation in terms of a and b and then solve it to find the values for which the determinant is zero. This can be done by setting the determinant equation equal to zero and solving for a and b.
Unfortunately, without any additional information or constraints on the values of a and b, it is not possible to determine the exact values for which the determinant is zero. Therefore, we cannot provide a specific answer for the determinant of A.
In conclusion, the value of the determinant of the given 2x2 matrix A is not zero in general. The determinant equation can be written as sin(a)*cos(a) - cos^2(b) = 0, but without additional information, we cannot determine the specific values of a and b for which the determinant is zero.
To find the value of the determinant A, which is a 2x2 matrix, we can use the formula for the determinant of a 2x2 matrix:
|A| = (a*d) - (b*c)
Where the matrix A is given by:
A = [a b]
[c d]
In this case, the matrix A is:
A = [sin(a) cos(b)]
[cos(b) cos(a)]
So, let's calculate the determinant using the formula:
|A| = (sin(a)*cos(a)) - (cos(b)*cos(b))
Simplifying further, we have:
|A| = sin(a)*cos(a) - cos^2(b)
Now, we need to check if the determinant is equal to zero or not. If it is equal to zero, then the matrix is singular (i.e., it has no inverse). If it is not equal to zero, then the matrix is non-singular (i.e., it has an inverse).
Let's substitute some values for a and b to see if the determinant is zero or not.
For example, let's assume a = 0 and b = π/2:
|A| = sin(0)*cos(0) - cos^2(π/2)
= 0*1 - 0
= 0
As we can see, the determinant is zero for this particular choice of values for a and b. However, this does not prove that the determinant is always zero for any values of a and b.
To find the general solution, we need to write the determinant equation in terms of a and b and then solve it to find the values for which the determinant is zero. This can be done by setting the determinant equation equal to zero and solving for a and b.
Unfortunately, without any additional information or constraints on the values of a and b, it is not possible to determine the exact values for which the determinant is zero. Therefore, we cannot provide a specific answer for the determinant of A.
In conclusion, the value of the determinant of the given 2x2 matrix A is not zero in general. The determinant equation can be written as sin(a)*cos(a) - cos^2(b) = 0, but without additional information, we cannot determine the specific values of a and b for which the determinant is zero.
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Find the value of determinat A 2x2 order =[ sina cosb Cosb cosa] [Cosb-cosa Sina-sinb ] Please share the solution of this 2x2 determinants and also check if the answer match =zero if not what is the answer of the determinants please share with me?
Question Description
Find the value of determinat A 2x2 order =[ sina cosb Cosb cosa] [Cosb-cosa Sina-sinb ] Please share the solution of this 2x2 determinants and also check if the answer match =zero if not what is the answer of the determinants please share with me? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Find the value of determinat A 2x2 order =[ sina cosb Cosb cosa] [Cosb-cosa Sina-sinb ] Please share the solution of this 2x2 determinants and also check if the answer match =zero if not what is the answer of the determinants please share with me? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the value of determinat A 2x2 order =[ sina cosb Cosb cosa] [Cosb-cosa Sina-sinb ] Please share the solution of this 2x2 determinants and also check if the answer match =zero if not what is the answer of the determinants please share with me?.
Find the value of determinat A 2x2 order =[ sina cosb Cosb cosa] [Cosb-cosa Sina-sinb ] Please share the solution of this 2x2 determinants and also check if the answer match =zero if not what is the answer of the determinants please share with me? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Find the value of determinat A 2x2 order =[ sina cosb Cosb cosa] [Cosb-cosa Sina-sinb ] Please share the solution of this 2x2 determinants and also check if the answer match =zero if not what is the answer of the determinants please share with me? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the value of determinat A 2x2 order =[ sina cosb Cosb cosa] [Cosb-cosa Sina-sinb ] Please share the solution of this 2x2 determinants and also check if the answer match =zero if not what is the answer of the determinants please share with me?.
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