Podcast
Questions and Answers
What type of matrix has the same number of rows and columns?
What type of matrix has the same number of rows and columns?
- Column matrix
- Row matrix
- Rectangular matrix
- Square matrix (correct)
What is the result when a matrix is multiplied by a scalar?
What is the result when a matrix is multiplied by a scalar?
- The determinant of the matrix
- A different matrix with elements multiplied by the scalar (correct)
- An identity matrix
- The sum of all elements of the matrix
Which type of matrix has all non-diagonal elements as zero?
Which type of matrix has all non-diagonal elements as zero?
- Identity matrix
- Diagonal matrix (correct)
- Skew symmetric matrix
- Symmetric matrix
What is the characteristic feature of an upper triangular matrix?
What is the characteristic feature of an upper triangular matrix?
Which property characterizes a singular matrix?
Which property characterizes a singular matrix?
Study Notes
Square Matrix
- A square matrix has the same number of rows and columns.
Scalar Multiplication of a Matrix
- Multiplying a matrix by a scalar involves multiplying each element of the matrix by that scalar.
Diagonal Matrix
- A diagonal matrix has all its non-diagonal elements equal to zero.
Upper Triangular Matrix
- An upper triangular matrix has all elements below the main diagonal equal to zero.
Singular Matrix
- A singular matrix has a determinant equal to zero.
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Description
Explore the definition of a matrix, its order, and various types such as rectangular, square, row, column, upper triangular, lower triangular, diagonal, scalar, identity, null matrices. Learn about equality of matrices, operations like addition, subtraction, scalar multiplication, and multiplication of two matrices. Practice finding the transpose, symmetric and skew symmetric matrices, along with singular and non-singular matrices. Solve problems related to adjoint, inverse, and eigen values of matrices.
