If A and B are both square matrices of the same size and tr(A)=tr(B) then A = B. If A is an invertible matrix then AT is also invertible. If A,B,C are all square matrices of the same size such that AB = AC then B = C Suppose A is a 6x6 square matrix with det(A) = 3. Then det(2AT) = = 192 Suppose A is 3x2 matrix and the system Ax = 0 has a unique solution. Then the system = b has a unique solution for any b. Ax If A is a skew symmetric matrix then A is not invertible. Suppose A is a square matrix such that A³ = I. Then A is invertible.
Quadratic Equation
When it comes to the concept of polynomial equations, quadratic equations can be said to be a special case. What does solving a quadratic equation mean? We will understand the quadratics and their types once we are familiar with the polynomial equations and their types.
Demand and Supply Function
The concept of demand and supply is important for various factors. One of them is studying and evaluating the condition of an economy within a given period of time. The analysis or evaluation of the demand side factors are important for the suppliers to understand the consumer behavior. The evaluation of supply side factors is important for the consumers in order to understand that what kind of combination of goods or what kind of goods and services he or she should consume in order to maximize his utility and minimize the cost. Therefore, in microeconomics both of these concepts are extremely important in order to have an idea that what exactly is going on in the economy.
can someone please do the last 4? ( starting from the suppose A is a 6x6)
show all work with explanations please
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