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Question: the form ax b where a is a n by...

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the form AX B where A is a n by m In each of the following cases gather the equations given into coefficient matrix, X a m by 1 vector of endogenous variables, and B a n by 1 vector of constants and exogenous variables. In each case state the dimensions of the matrix and vectors. (a) Endogenous variables: x,x2, x x1 + x2 + x3 =0; x3 = 2x1-x2 +1 Equations: Equations: Exogenous variable: (b) Endogenous variables: x, x, x (c)* Endogenous variables: x, y Equations: 2. For the following matrices A and B calculate: (a) AB and B.A where the products are conformable: (b) show that (AB)T BTAT ,B=10-11; 17 121 1 0 (ii) A 7 -12 3. In the case of each of the following 2x2 matrices calculate the determinant, on this basis state whether the matrix has an inverse, and if does, calculate that inverse. 2 1-1 1 1 -1 1 -1
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