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If A is a symmetric matrix, then B’ AB is
- a)Skew symmetric
- b)Symmetric
- c)Neither symmetric nor skew symmetric
- d)Both symmetric and skew symmetric
Correct answer is option 'B'. Can you explain this answer?
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If A is a symmetric matrix, then B’ AB isa)Skew symmetric...
If AB is symmetric, then
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If A is a symmetric matrix, then B’ AB isa)Skew symmetric...
Cannot be a matrix unless we know more about the specific properties of A and B.
A symmetric matrix is a square matrix that is equal to its transpose, i.e., A = A^T. This means that the entries of A are symmetric across the main diagonal.
B could be a matrix of any size and with any properties, as long as it is compatible with A for any matrix operations we want to perform. For example, if we want to multiply A by B, then B must have the same number of rows as A has columns.
Without any further information about A and B, we cannot say anything else about the relationship between them.
A symmetric matrix is a square matrix that is equal to its transpose, i.e., A = A^T. This means that the entries of A are symmetric across the main diagonal.
B could be a matrix of any size and with any properties, as long as it is compatible with A for any matrix operations we want to perform. For example, if we want to multiply A by B, then B must have the same number of rows as A has columns.
Without any further information about A and B, we cannot say anything else about the relationship between them.
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