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Questions and Answers
Which one of these is the correct definition of a diagonal matrix?
Which one of these is the correct definition of a diagonal matrix?
- A matrix with elements that are all zeros except for the elements on the secondary diagonal
- A matrix with elements that are all zeros except for the elements on the main diagonal and the elements below it
- A matrix with elements that are all zeros except for the elements on the main diagonal (correct)
- A matrix with elements that are all zeros except for the elements on both the main and secondary diagonals
Which one of these is the correct formula for finding the product of two matrices, A and B?
Which one of these is the correct formula for finding the product of two matrices, A and B?
- AB = BA
- AB = B - A
- AB = A * B (correct)
- AB = A + B
Which one of these is the correct formula for finding the determinant of a 2x2 matrix?
Which one of these is the correct formula for finding the determinant of a 2x2 matrix?
- det(A) = a11 * a22 - a12 * a21 (correct)
- det(A) = a11 + a12 - a21 - a22
- det(A) = a11 * a21 - a12 * a22
- det(A) = a11 + a22 - a12 - a21
Which one of these is the correct formula for finding the adjoint of a matrix?
Which one of these is the correct formula for finding the adjoint of a matrix?
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Which one of these is the correct formula for finding the additive inverse of a matrix A?
Which one of these is the correct formula for finding the additive inverse of a matrix A?
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Study Notes
Matrices Formulas and Definitions
- A diagonal matrix is a square matrix where all non-zero elements are on the main diagonal and the rest are zero.
- The product of two matrices A and B is found using the formula: AB = [aij][bij] = [∑(aij*bij)].
- The determinant of a 2x2 matrix is found using the formula: det(A) = ad - bc, where A = [a, b; c, d].
- The adjoint of a matrix A is found using the formula: adj(A) = transpose of cofactor matrix of A.
- The additive inverse of a matrix A is found using the formula: -A = [-aij], which is obtained by changing the sign of each element of A.
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