Matrix - practice problems - page 2 of 3
Instructions: For each problem, solve carefully and show your complete working.Number of problems found: 41
- Matrix determinant
The determinant of matrix A has the value 2. What will be the value of the inverse matrix determinant to matrix A? - Inverse matrix
Find how many times the larger determinant is the matrix A, which equals 9 as the determinant of its inverse matrix. - Square Matrix Rows
Determine how many rows the 7th-order square matrix contains. - Matrix elements Determine how many elements a third-order square matrix contains.
- Linear equation system
Write a system of 3 linear equations with 3 variables (x. Y. z), which has all non-zero coefficients and a solution x= 2+t, y=3-2t, z=t, where t€R. The fact that the system has all non-zero coefficients means that all numbers in the extended matrix of the - Matrix rank Find the rank of each null matrix.
- Matrix columns How many columns does a rectangular matrix contain, which contains 45 elements, and the number of its columns is five times larger than the number of its rows?
- Linear system solving
Solve the 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 - Inverse matrix
Find out the inverse using Gauss elimination or the reduction method. A=[2/3. 1 -3. 1/3] - Matrix Rows Columns Count 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?
- Matrix column count 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?
- Matrix rows
The square matrix contains 81 elements. How many rows does this array contain? - Matrix element count The determinant of a square matrix of the 1st order equals 3. How many elements does this matrix contain?
- 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 his residence, these commodities are priced at € 20, €10, and € 6 per kg, whereas in the local market, they are priced at € 15, 8, and € 6 per kg, resp - Matrix square rows 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?
- Identity Matrix Units Write the number of units that contain a unit matrix with rows 3.
- Matrix determinant
Calculate the value of the determinant of a unit matrix with 11 rows. - The determinant The determinant of the unit matrix equals 7. Check how many rows the A matrix contains.
- Identity Matrix Zeros How many zeros does the unit matrix E contain, which has three units in the main diagonal?
- Matrix element count The unit matrix has the value of determinant 3. Find out how many elements this matrix contains.
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