Ünite Sınavı Soruları

If

then what is

I. The first two columns of the matrix are written to the right of the original matrix A, and each
diagonal is multiplied. 

II. The descending diagonals from left to right has negative sign while the descending diagonals from right to left has a positive sign.

III. To obtain the determinant of the matrix, the results of the multiplications are added by taking into account the signs.

What can be said to be true about Sarrus' rule?

What is the determinant of the coefficient matrix of the linear system below?

If

is a matrix of type of

and

is a matrix of type of

then what is the type of the product matrix

Which one of the following matrix is the inverse of the matrix

Calculate the determinant of

Which of the following is the solution of the system of linear equations

If

to find the entries of the product matrix AB?

For the matrices, A = [2 3 , 5 6 ]_2x2 and B = [1 3, 3 7]_2x2what is the sum of these two matrices?

I. Let m and n be positive integers. An m×n matrix is a rectangular array of mn numbers enclosed in brackets. 

II. For an  m×n matrix these mn numbers are called entries of this matrix. 

III. Matrices are denoted by lowercase letters and entries of matrices are denoted by capital letters always.

What can be said to be true about matrices?

If

and

what is

What is the type of the matrix ?

What is the type of the matrix

I.  If there exists a square matrix A-1 such that A.A^-1 = I_n = A^-1.A, then the matrix A^-1 is called the inverse matrix of A.

II. If a matrix A has an inverse, A is called invertible if such an inverse does not exist, A is called singular.

III. The inverse matrix can be defined for a nonsquare matrix also all square matrices possess inverses.

What can be said to be true about inverse matrices?

then which of the following is the entry c₃₁ of the matrix 

Which of the following is the inverse of the matrix

Which of the following linear system has the solution

Which of the following is the determinant of the coefficient matrix of the system of linear equations

What is the inverse of the matrix