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.