Midterm Review #1

Flashcard
•
Mathematics
•
12th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What are the dimensions of a matrix?
Back
The dimensions of a matrix are given in the form of rows x columns. For example, a 3 x 2 matrix has 3 rows and 2 columns.
2.
FLASHCARD QUESTION
Front
How do you multiply two matrices?
Back
To multiply two matrices, the number of columns in the first matrix must equal the number of rows in the second matrix. The resulting matrix will have dimensions equal to the number of rows of the first matrix and the number of columns of the second matrix.
3.
FLASHCARD QUESTION
Front
What is the result of subtracting two matrices?
Back
The result of subtracting two matrices is a new matrix where each element is the difference of the corresponding elements from the two matrices.
4.
FLASHCARD QUESTION
Front
What is a determinant of a matrix?
Back
The determinant is a scalar value that is a function of the entries of a square matrix. It provides important information about the matrix, such as whether it is invertible.
5.
FLASHCARD QUESTION
Front
How do you write a system of equations as an augmented matrix?
Back
An augmented matrix is formed by writing the coefficients of the variables in the system of equations in a matrix format, with an additional column for the constants.
6.
FLASHCARD QUESTION
Front
What is the identity matrix?
Back
The identity matrix is a square matrix with ones on the diagonal and zeros elsewhere. It acts as the multiplicative identity in matrix multiplication.
7.
FLASHCARD QUESTION
Front
What is the inverse of a matrix?
Back
The inverse of a matrix A is another matrix, denoted A^-1, such that when A is multiplied by A^-1, the result is the identity matrix.
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