問題一覧
1
A² = I
Involutory
2
Is a matrix having only one row and "n" columns. It is also called row vector
Row matrix
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Is a square matrix where in the elements about its main diagonal are symmetric aij=aij
Symmetric matrix
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Is a square matrix where in all-off diagonal elements are zero
Diagonal matrix
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A^k=0
Nilpotent
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Is a square matrix whose element above it's principal diagonal are zero
Lower triangle
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Is a matrix with "m" rows and only 1(one) columns. It is also called a column vector
Column matrix
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The product of a scalar K and matrix A is obtained by multiplying each element of the matrix A by the scalar K
Multiplication of matrix by a scalar
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The matrices A and B can be multiplied in the order AB if and only if the number of columns of A is equal to the number of rows of B.
Multiplication of matrices
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A^T=–A
Skew-symmetric
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A set of numbers in rows and columns
Matrix
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(AB)^T
B^T A^T
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(BA)^T
A^T B^T
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Is a square matrix for which all elements on the main diagonal are equal
Scalar matrix
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All element are zero, usually determined by 0
Zero or null matrix
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What is the name of each entry of a matrix?
Element
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The rows is equal to the number of columns
Square matrix
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The transpose of a matrix A, denoted A+ or A' is obtained by interchanging the rows and columns of A.
Transpose of a matrix
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AB=BA
Commute
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Is a square matrix whose elements below it's principal diagonal are zero
Upper triangle
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Two matrices A & B are said to be equal (A=B)
Equality
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AB=–BA
Anti-commute
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A^k+1=A
Idempotent
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Is a square matrix in which the diagonal elements are 1(one) and all off diagonal elements are 0(zero) usually denoted by Im
Identity matrix
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Two matrices A & B can be added or subtracted if they are of the same order.
Addition and subtraction of matrices
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A ______ is a rectangular array of numbers/quantities arranged in rows and columns usually enclosed by a pair of brackets.
Matrix