# Matrix - practice problems

#### Number of problems found: 39

- Saving at market shop

Mr. Akpalu went to a market to purchase 3 kg of sugar, 10 kg of wheat and 1 kg of salt. In a shop near to Mr. Akpalu's residence, these commodities are priced at € 20, €10 and € 6 per kg whereas in the local market these commodities are priced at € 15, 8 - The sum 17

The sum of three numbers is -1. If we multiply the second number by 2, third number by 3 and add them, we get 5. If we subtract the third number from the sum of first and second numbers, we get -1. Answer the following: Represent the above information a - Elimination: 10441

Solve linear system of equations by Gaussian elimination: 3x1 −2x2 −5x3 + x4 = 3 2x1 −3x2 + x3 + 5x4 = −3 x1 + 2x2 −4x4 = −3 x1 - x2 −4x3 + 9x4 = 22 - Determinant 9511

The determinant of a square matrix of the 1st order equals 3. How many elements does this matrix contain? - Rectangular 9401

Matrix E is a rectangular matrix that contains 48 elements and four rows. How many columns does this matrix have? - Determinant 7506

How does a determinant of a matrix of order n ≥ 3 change if we add the last column to each column (including the last)? - Inverse matrix

Find out inverse by Gauss elimination or by reduction method. A=[2/3. 1 -3. 1/3] - Determine 6112

Find how many columns will contain the inverse matrix to matrix C if matrix C contains nine elements. - Matrices 5702

How many columns will the matrix K contain, which will be the product of matrices I and J, where matrices I and J are square matrices of the sixth order. - Determinant 5701

The unit matrix has the value of determinant 3. Find out how many elements this matrix contains. - Diagonal 5541

How many zeros does the unit matrix E contain, which has three units in the main diagonal? - Determinant 5531

The determinant of the matrix J has the value 0. What will be the value of the determinant of matrix C, which we get as the square of the matrix J? - Determinant 5513

How many rows does a square matrix A have if we use Sarruss's rule to calculate its determinant? - Rectangular 5512

The rectangular matrix M contains 21 elements and has three columns. How many rows does matrix M have more than square matrix F, which contains four elements? - Contains 5503

How many orders are a square matrix C if this matrix contains 36 elements? - Determinant 5492

The determinant of matrix C is equal to 12. What will be the value of the determinant of matrix F if we know that matrix F is the opposite matrix of matrix C? - Contains 5488

The given is the unit matrix A, which contains three rows. How many rows will matrix B have, which arises as to the square of matrix A? - Determinants 5290

The determinant of the product of 2 square matrices has the value 3. What is the product's value of the respective determinants of these matrices? - Matrix 5221

The rank of matrix A is 3. What rank will this matrix have if we add twice the second row to its first row? - Contain 5173

Write the number of units that contain a unit matrix with rows 3.

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