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if A is a square matrix of order 3 then |10A| is equal to what ?
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if A is a square matrix of order 3 then |10A| is equal to what ? Relat...
Solution:
Given, A is a square matrix of order 3.
We need to find |10A|.
Let us first find the determinant of A.
Determinant of A:
The determinant of a 3x3 matrix A can be found using the following formula:
|A| = a11(a22a33 - a23a32) - a12(a21a33 - a23a31) + a13(a21a32 - a22a31)
where aij represents the element in the ith row and jth column of matrix A.
|A| = a11(a22a33 - a23a32) - a12(a21a33 - a23a31) + a13(a21a32 - a22a31)
Now,
|10A| = |10|3|A| = 1000|A|
Therefore,
|10A| = 1000|A|
Hence, |10A| is equal to 1000 times the determinant of A.
Given, A is a square matrix of order 3.
We need to find |10A|.
Let us first find the determinant of A.
Determinant of A:
The determinant of a 3x3 matrix A can be found using the following formula:
|A| = a11(a22a33 - a23a32) - a12(a21a33 - a23a31) + a13(a21a32 - a22a31)
where aij represents the element in the ith row and jth column of matrix A.
|A| = a11(a22a33 - a23a32) - a12(a21a33 - a23a31) + a13(a21a32 - a22a31)
Now,
|10A| = |10|3|A| = 1000|A|
Therefore,
|10A| = 1000|A|
Hence, |10A| is equal to 1000 times the determinant of A.
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if A is a square matrix of order 3 then |10A| is equal to what ? Related: NCERT Solutions, Matrices, Part - 2, Class 12, Maths?
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if A is a square matrix of order 3 then |10A| is equal to what ? Related: NCERT Solutions, Matrices, Part - 2, Class 12, Maths? for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about if A is a square matrix of order 3 then |10A| is equal to what ? Related: NCERT Solutions, Matrices, Part - 2, Class 12, Maths? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for if A is a square matrix of order 3 then |10A| is equal to what ? Related: NCERT Solutions, Matrices, Part - 2, Class 12, Maths?.
if A is a square matrix of order 3 then |10A| is equal to what ? Related: NCERT Solutions, Matrices, Part - 2, Class 12, Maths? for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about if A is a square matrix of order 3 then |10A| is equal to what ? Related: NCERT Solutions, Matrices, Part - 2, Class 12, Maths? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for if A is a square matrix of order 3 then |10A| is equal to what ? Related: NCERT Solutions, Matrices, Part - 2, Class 12, Maths?.
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