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Let A be a square matrix and AT be its transpose matrix. Then A – AT is ….
- a)Zero matrix
- b)Skew-symmetric matrix
- c)Identity matrix
- d)Symmetric matrix
Correct answer is option 'B'. Can you explain this answer?
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Let A be a square matrix and AT be its transpose matrix. Then A &ndash...
use the definition of transpose matrix, then we have A is skew-symmetric matrix.
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Let A be a square matrix and AT be its transpose matrix. Then A &ndash...
Here we will discuss some properties of skew-symmetric matrix:
When we add two skew symmetric matrices then the resultant matrix is also skew-symmetric.
The determinant of skew symmetric matrix is non-negative.
When the identity matrix is added to the skew symmetric matrix then the resultant matrix is invertible.
The diagonal of skew symmetric matrix consists of zero elements and therefore the sum of elements in the main diagonals is equal to zero.
Scalar product of skew symmetric matrix is also a skew symmetric matrix
Given, A be a square matrix.
When we add two skew symmetric matrices then the resultant matrix is also skew-symmetric.
The determinant of skew symmetric matrix is non-negative.
When the identity matrix is added to the skew symmetric matrix then the resultant matrix is invertible.
The diagonal of skew symmetric matrix consists of zero elements and therefore the sum of elements in the main diagonals is equal to zero.
Scalar product of skew symmetric matrix is also a skew symmetric matrix
Given, A be a square matrix.
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Let A be a square matrix and AT be its transpose matrix. Then A &ndash...
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Let A be a square matrix and AT be its transpose matrix. Then A – AT is ….a)Zero matrixb)Skew-symmetric matrixc)Identity matrixd)Symmetric matrixCorrect answer is option 'B'. Can you explain this answer?
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