Question:
Consider two matrices \(A=\begin{bmatrix} 2 & 1 & 4 \\ 1 & 0 & 3 \end{bmatrix}\) and \(B=\begin{bmatrix} -1 & 0 \\ 2 & 3 \\ 1 & 4 \end{bmatrix}\)
The determinant of the matrix AB is _____ (in integer).
Consider two matrices \(A=\begin{bmatrix} 2 & 1 & 4 \\ 1 & 0 & 3 \end{bmatrix}\) and \(B=\begin{bmatrix} -1 & 0 \\ 2 & 3 \\ 1 & 4 \end{bmatrix}\)
The determinant of the matrix AB is _____ (in integer).
The determinant of the matrix AB is _____ (in integer).
Updated On: Jul 29, 2024
Hide Solution
Verified By Collegedunia
Correct Answer: 10
Solution and Explanation
The correct answer is 10.
Was this answer helpful?
0
1
Top Questions on Matrix Algebra
- The statements P and Q are related to matrices A and B, which are conformable for both addition and multiplication.
P : (A + B)T = AT + BT
Q: (AB)T = ATBT
Which one of the following options is CORRECT ?- GATE CE - 2024
- Engineering Mathematics
- Matrix Algebra
- The three-dimensional state of stress at a point is given by
\(\sigma =\begin{pmatrix} 10 & 0 & 0\\ 0 & 40 & 0\\ 0 & 0 & 0 \end{pmatrix} \)
The maximum shear stress at the point is- GATE CE - 2024
- Engineering Mathematics
- Matrix Algebra
- Consider a Leniar Homogeneous system AX = 0, where A is N × N matrix and X is N × 1 vector. When we solve this 0 is null matrix of N × 1. Let R be the rank matrix for a for a Non-trivial solution.
- GATE CH
- Engineering Mathematics
- Matrix Algebra
Questions Asked in GATE CE exam
- Find the odd one out in the set: {19, 37, 21, 17, 23, 29, 31, 11}
- GATE CE - 2024
- Odd one Out
- A surveyor observes a zenith angle of 93° 00' 00" during a theodolite survey. The corresponding vertical angle is
- GATE CE - 2024
- Principles of surveying
- The initial cost of an equipment is Rs. 1,00,000. Its salvage value at the end of accounting life of 5 years is Rs. 10,000. The difference in depreciation (in Rs.) computed using 'double-declining balance method' and 'straight line method' of depreciation in Year-2 is ____ (in positive integer).
- GATE CE - 2024
- Construction Management
- A 2m × 2m tank of 3 m height has inflow, outflow and stirring mechanisms. Initially, the tank was half-filled with fresh water. At t = 0, an inflow of a salt solution of concentration 5 g/m3 at the rate of 2 litre/s and an outflow of the well stirred mixture at the rate of 1 litre/s are initiated. This process can be modelled using the following differential equation:
\(\frac {dm}{dt}+\frac {m}{6000+t}=0.01\)
where m is the mass (grams) of the salt at time t (seconds). The mass of the salt (in grams) in the tank at 75% of its capacity is _____ (rounded off to 2 decimal places).- GATE CE - 2024
- Properties of Fluids
- An inverted T-shaped concrete beam (B1) in the figure, with centroidal axis X - X, is subjected to an effective prestressing force of 1000 kN acting at the bottom kern point of the beam cross-section. Also consider an identical concrete beam (B2) with the same grade of concrete but without any prestressing force.
- GATE CE - 2024
- Concrete
View More Questions