1. Calculate the determinant of the 2×2 matrix: – ( begin{vmatrix} 1 & 2 \\ 3 & 4 end{vmatrix} ) 2. Find the determinant of the 2×2 matrix: – \( begin{vmatrix} 5 & -3 \\ 2 & 6 end{vmatrix} \) 3. Determine the determinant of the 3×3 matrix: – \( begin{vmatrix} 1 & 2 & …
Solve the following linear equations and check your result $$5x + frac{7}{2} = frac{3}{2}x – 14$$ $$4x + frac{3}{5} = frac{7}{3}x – 2$$ $$2x – frac{1}{3} = frac{3}{4}x + 2$$ $$3x + frac{2}{7} = frac{5}{2}x – 1$$ $$5x – frac{1}{4} = frac{2}{3}x + 7$$ $$6x + frac{3}{8} = frac{4}{5}x – 5$$ $$8x – frac{1}{6} = …
Quadratic equations are equations of the form $$ax^2 + bx + c = 0$$, where a, b, and c are constants, and x is the variable. There are several methods for solving quadratic equations, but the most common ones are: Factoring method: If possible, you can factor the quadratic expression into two linear factors, and …
Scoring more marks in maths can be challenging, but it is achievable with consistent effort and the right approach. Here are some tips that can help you improve your performance in maths: Practice regularly: Mathematics requires a lot of practice to master the concepts and techniques. Make it a habit to practice regularly, preferably every …
Mathematics is a fundamental subject that plays a crucial role in every student’s life. Here are some of the ways in which math is important: Problem-solving skills: Math teaches students how to think logically and critically to solve complex problems, which is a valuable skill that can be applied in many areas of life. Career …
