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A square matrix A = [aij]n×n is called a diagonal matrix if aij = 0 for
- a)I < j
- b)I = j
- c)I > j
- d)I ≠ j
Correct answer is option 'D'. Can you explain this answer?
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A square matrixA = [aij]n×nis called a diagonal matrix ifaij= 0 f...
In a diagonal matrix all elements except diagonal elements are zero.i.e.
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A square matrixA = [aij]n×nis called a diagonal matrix ifaij= 0 f...
In a diagonal matrix all elements except diagonal elements are zero.i.e.
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A square matrixA = [aij]n×nis called a diagonal matrix ifaij= 0 f...
Diagonal Matrix Explanation:
Diagonal matrices are a special type of square matrix where all the elements outside the main diagonal are zero.
Diagonal matrices are a special type of square matrix where all the elements outside the main diagonal are zero.
- Definition: A square matrix A = [aij]nn is called a diagonal matrix if aij = 0 for all i ≠ j.
- Key Point: In a diagonal matrix, only the elements on the main diagonal (from the top left to the bottom right) can have non-zero values.
- Example: An example of a 3x3 diagonal matrix is:
\[ \begin{bmatrix} 2 & 0 & 0 \\ 0 & 4 & 0 \\ 0 & 0 & 6 \end{bmatrix} \] - Condition for Diagonal Matrix: The condition aij = 0 for i ≠ j means that all elements off the main diagonal must be zero.
- Identity Matrix: The identity matrix is a special diagonal matrix where all elements on the main diagonal are equal to 1.
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A square matrixA = [aij]n×nis called a diagonal matrix ifaij= 0 fora)I<jb)I=jc)I>jd)I≠jCorrect answer is option 'D'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A square matrixA = [aij]n×nis called a diagonal matrix ifaij= 0 fora)I<jb)I=jc)I>jd)I≠jCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A square matrixA = [aij]n×nis called a diagonal matrix ifaij= 0 fora)I<jb)I=jc)I>jd)I≠jCorrect answer is option 'D'. Can you explain this answer?.
A square matrixA = [aij]n×nis called a diagonal matrix ifaij= 0 fora)I<jb)I=jc)I>jd)I≠jCorrect answer is option 'D'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A square matrixA = [aij]n×nis called a diagonal matrix ifaij= 0 fora)I<jb)I=jc)I>jd)I≠jCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A square matrixA = [aij]n×nis called a diagonal matrix ifaij= 0 fora)I<jb)I=jc)I>jd)I≠jCorrect answer is option 'D'. Can you explain this answer?.
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